Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 84353: Solve by using the quadratic formula. x^2 = 7x – 11
My answer that I got is -7+-SQRT97
Is that correct?

Click here to see answer by funmath(2933) About Me 

Question 84350: Solve by using the quadratic formula. 3x^2 = 11x + 4
My answer that I got is 1/3,-4
Is that correct?

Click here to see answer by tutor_paul(519) About Me 

Question 84351: Solve by using the quadratic formula. 5x^2 – x = 3
My answer that I got is 7 +- SQRT47/4
Is that correct?

Click here to see answer by vertciel(183) About Me 
Question 84351: Solve by using the quadratic formula. 5x^2 – x = 3
My answer that I got is 7 +- SQRT47/4
Is that correct?

Click here to see answer by josmiceli(19441) About Me 

Question 84582: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by venugopalramana(3286) About Me 

Question 84554: How would I write an equation in standard form of a parabola with a line of symmetry x=2 and containing (2,3)(4,-5)?
Click here to see answer by vertciel(183) About Me 

Question 84579: Solve by making appropriate substitution.
x^4 - 14x^2 - 32 = 0

Click here to see answer by checkley75(3666) About Me 
Question 84579: Solve by making appropriate substitution.
x^4 - 14x^2 - 32 = 0

Click here to see answer by rapaljer(4671) About Me 

Question 84642: I am having difficulty understanding how to set up and solve this word problem. My professor says this can be done with a form of quadratic equation. Please help!
"It takes Billy 2 hours longer to do a certain job than it takes Reena. They worked together for 2 hours; then Reena left and Billy finished the job in 1 hour. How long would it take each of them to do the job alone?"
Thank you for your help,
para.lax

Click here to see answer by scott8148(6628) About Me 

Question 84663: The width of a room is 3 feet shorter than its length. The perimeter of the room is 62 ft. What is the length and width?

Click here to see answer by liz_gcmama(8) About Me 
Question 84663: The width of a room is 3 feet shorter than its length. The perimeter of the room is 62 ft. What is the length and width?

Click here to see answer by abbeysin(2) About Me 

Question 84664: The work principal states that if on person can do a job in time ‘a’ and another can do the same job in time ‘b’ that they can do the job together in time ‘t’. This is demonstrated by the equation:
1 + 1 = 1
a b t
Write the expression in terms of a:
And then use t = 5 hours and b = 8 hours, approximately what is a?

Click here to see answer by funmath(2933) About Me 

Question 84637: I was given three sets of coordinates and instructed to form the quadratic equation. The coordinates are: (-1,0),(-0.16,-2),(0.67,0).
I tried to enter the coordinates into y = ax^2+bx+c and solve for a, b and c but had trouble, can you please help?

Click here to see answer by vertciel(183) About Me 

Question 82281: x=y squared
(x+3)squared+y squared=53

Click here to see answer by vertciel(183) About Me 

Question 84576: Solve. We are working with Quadratic Equations and Functions
You have 188 ft of fencing to enclose a rectangular region. What is the maximum area?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 84735: The perimiter of a rectangular concrete slab is 60 feet and its area is 224 square feet. What is the length of the longer side of the slab?
Click here to see answer by PS(13) About Me 

Question 84758: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Click here to see answer by pg2000in(2) About Me 

Question 84762: I need to solve this word problem in the form of a quadratic equation and am having difficulty. Please help me.
Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.

Click here to see answer by dolly(163) About Me 

Question 84734: A rectangualr garden measuring 8 m by 20 m has its area increased by 60 m^2 by the addition of a walk of uniform width around all sides. What is the width of the walk?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 84665: The body mass index is a measure of the risk of heart disease. It is given by the following formula:
I = 704.5 W
H2 Where W = weight in lbs and H = height in inches
An index greater than 25% indicates that a person IS at risk for a heart attack. If Mary’s height is 65 inches what should her weight be maintained at or under?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 84826: find the real and complex solution of the equation x^2-8=0
Click here to see answer by funmath(2933) About Me 

Question 84850: Solve quadratic equation by using the quadratic formula.
x2-x-6=0

Click here to see answer by jim_thompson5910(35256) About Me 
Question 84850: Solve quadratic equation by using the quadratic formula.
x2-x-6=0

Click here to see answer by Spec80(9) About Me 

Question 84807: These formula's just get me going and I get lost. The questions states:
Page 794: Problem 18:Solve the equation using the quadratic formula. Simplify solution if possible.
X^2 =2x+4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 84757: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by rapaljer(4671) About Me 

Question 84864: Solve by completing the square.
4x^2 + 2x – 3 = 0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 84578: Solve by method of choice.
(3x + 5)^2 = 6

Click here to see answer by ryanman(19) About Me 

Question 84863: The demand and supply equations for a certain item are given by
D = –5p + 40
S = –p2 + 30p – 8
Find the equilibrium price.
I get sooooooo Lost on these type of problems! Help! Thanks In advance.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 84919: When it comes to word problems, as always, I have no idea of where to begin to arrive at the conclusion.
Another question by the teacher, not in textbook...
An object is propelled vertically upward from the top of a 112-foot building. The quadratic function s(t) = -16t2 + 176t + 112 models the ball’s height above the ground, s(t), in feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the ground? Round to the nearest tenth of a second if necessary.

Click here to see answer by scott8148(6628) About Me 

Question 84913: This quadriatic problems just get to me and looking for an area is even more confusing.
The question the teacher asks, not in the textbook is this:

1. You have 188 feet of fencing to enclose a rectangular region. What is the maximum area?

Click here to see answer by scott8148(6628) About Me 

Question 72650: x(2x + 7) = -5
Click here to see answer by artavia12(1) About Me 

Question 85017: Expalin revelance and application of logarithmic function in real life situations?
Click here to see answer by stanbon(75887) About Me 

Question 85186: What values for x must be excluded in the following fraction?

x-3/(4x-5)(x+1)
?? I totally don't have any idea on this one.

Click here to see answer by stanbon(75887) About Me 

Question 85166: I'm haveing trouble completing this equation...using Q. F.
x=-b+- sq. b^2-4ac/2a
2+2x-x^2=0
The answer is 1+- sq. 3

Click here to see answer by ptaylor(2198) About Me 

Question 85296: Solve each of the following quadratic equations by completing the square...
#22. X^2-6X-3=0
#28. 2X^2+10X+11=0

Click here to see answer by josmiceli(19441) About Me 

Question 85316: I am trying to find a place I can put a graph in to copy it into discussion board
Click here to see answer by jim_thompson5910(35256) About Me 

Question 85323: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.

What is the maximum height of the ball?

Click here to see answer by stanbon(75887) About Me 

Question 84902: Please help I need to know do these Quadriac Equations have a solution or not. And how to justify the answer.
a) 5x^2 + 8x + 7 = 0
b) (7)^1/2y^2 - 6y - 13(7)^1/2 = 0
c) 2x^2 + x - 1 = 0
d) 4/3x^2 - 2x + 3/4 = 0
e) 2x^2 + 5x + 5 = 0
f) p^2 - 4p + 4 = 0
g) m^2 + m + 1 = 0
h) 3z^2 + z - 1 = 0


Click here to see answer by stanbon(75887) About Me 

Question 85328: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
Can someone please tell me what function describes the problem above? Thanks!!

Click here to see answer by stanbon(75887) About Me 

Question 85326: Please do not delete this.
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.

How long will it take to hit the ground?

Click here to see answer by stanbon(75887) About Me 

Question 85337: Can anyone help me with this doozy?
Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the Standard Form to find the maximum area.

Click here to see answer by stanbon(75887) About Me 

Question 85325: Please do not delete this question.
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.


How high will the ball be above ground after 1 second?

Click here to see answer by stanbon(75887) About Me 
Question 85325: Please do not delete this question.
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.


How high will the ball be above ground after 1 second?

Click here to see answer by bucky(2189) About Me 

Question 85402: What is the quadratic equation of
x2-6x+8=0 solve by factoring

Click here to see answer by jim_thompson5910(35256) About Me 

Question 85397: Use the quadratic formula to solve each of the following quadratic equations...
1. 2x^2-5x=3
2. 3x^2-2x+1=0
3. x^2+4x+4=7 (Hint: Factor the left hand side)

Click here to see answer by jim_thompson5910(35256) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240