Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 625458: Use complete sentences to explain how you would use graphing technology to find the solutions of 0 = −x2 + 2.5x + 1. What do the solutions of 0 = −x2 + 2.5x + 1 represent on the graph of the equation?
Click here to see answer by jsmallt9(3758)

Question 625462: In a race, Car A starts 1 mile behind Car B. Car A is traveling at 65 miles per hour, while Car B is traveling at 45 miles per hour. How long will it take for Car A to overtake Car B?
Click here to see answer by reynard2007(52)

Question 625481: How would you solve for x, using the quadratic formula?
x^2+x-1=0
Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 625481: How would you solve for x, using the quadratic formula?
x^2+x-1=0
Thank you!
Click here to see answer by oscargut(2103)

Question 625471: How would you solve this problem using "completing the square?"
4x^2+32x+20=0
Thank you!
Click here to see answer by solver91311(24713)

Question 625492: How do you simplify problems with an imaginary number?
(3-i)/(5+2i)
(division)
(2+i)/(3-4i)
Thank you so much!
Click here to see answer by richwmiller(17219)

Question 625492: How do you simplify problems with an imaginary number?
(3-i)/(5+2i)
(division)
(2+i)/(3-4i)
Thank you so much!
Click here to see answer by solver91311(24713)

Question 625490: How would you solve these two problems using completing the square?
4x^2+32x+20=0
&
x^2+10x+10=0
thank you so much!
Click here to see answer by solver91311(24713)

Question 625493: How would you determine what solution type this problem is, using the discriminant?
5x^2+10=7x
Click here to see answer by solver91311(24713)

Question 625505: How would you predict the nature of solutions in equation using the discriminant?
2x^2+5x=7
Click here to see answer by solver91311(24713)

Question 625500: How do you solve this problem using the square root property?
(3x+1)^2-5=0
Click here to see answer by solver91311(24713)

Question 625504: How you solve this problem by using the quadratic formula?
The 100, 140 is having me confused.
3x^2-2x+1=0
Click here to see answer by solver91311(24713)

Question 625503: How would you solve this problem, by factoring?
x^3+3x^2-7x=21
thank you!
Click here to see answer by jankiz(13)

Question 625526: Not sure where to put this - it IS a quadratic function where I need to find the vertex, line of symmetry, the maximum or minimum value of the quadratic function.
f(x) = -2x^2 + 2x + 1
The x-coordinate of the vertex is:
(Type a simplified fraction)
The y-coordinate of the vertex is:
(Type a simplified fraction)
The equation of the line of symmetry is:
(Type an equation. Use integers or fractions for any numbers in the equation.)
The maximum/minimum of f(x) is:
(Type a simplified fraction.)
The value of f(1/2) = (3/2) is a
a) minimum
b) maximum

Any help is greatly appreciated.
Thank you!

Click here to see answer by lwsshak3(11628)

Question 625614: Find all real or imaginary roots of 5x^2+6x+5=0

Click here to see answer by reynard2007(52)

Question 625622: 10x^2+7x-6=0
Click here to see answer by reynard2007(52)

Question 625625: Good morning! Looking for some help on a math question. Any help is greatly appreciated!
Find the vertex, line of symmetry, and the maximum or minimum value of f(x).
f(x)= 1/2 〖(x+3)〗^2+1
The vertex is
(Type an ordered pair.)
The line of symmetry is
(Type an equation.)
What is the max/min value of f(x)?
Is the value, f(-3) = 1, a minimum or maximum?
Click here to see answer by Alan3354(69443)

Question 625649: how would i find the solution set to this equation m to the second power + 9m =0

Click here to see answer by reynard2007(52)

Question 625651: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
Tickets = -0.3x^2+6x+22
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. Note: Write your answer in terms of the number of days after ticket sales begin.
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?
h. How many solutions are there to the equation -0.3x^2+6x+22? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by solver91311(24713)

Question 625837: The graph of y=ax^2+bx+c cannot have points in the third or fourth quadrants if
a) b^2-4ac>0 and b>a
b) b^2-4ac>0 and b<0
c) b^2-4ac=0 and a<0
d) b^2-4ac<0 and a<0
e) b^2-4ac<0 and a>0
Click here to see answer by stanbon(75887)

Question 625812: solve the system of equation by graphing.
x+y=6
x-y=4
Click here to see answer by oscargut(2103)

Question 626231: give exact and approximate solutions to three decimal place
y^2-14y+49=25
Click here to see answer by Edwin McCravy(20054)

Question 626391: Give exact and approximate solutions to three decimal places
y^2-20y+100=16
What are the exact solutions?
y=?
(Type an exact answer as needed)
(Rationalize all denominators)
(express complex numbers in terms of I)
(use a comma to separate answers as needed)
There are no approximate solutions since the solutions are integers
Does this mean that:
1)y^2 is the ^2 of y
2)+100=10^2
3)ignoring the sign (-) on -20, the product of square roots of 1st and 3rd term = 2*y*10 (20y)
4)y = (y-10)^2=16
y-10= �4
y = 10 �5
Am I doing this right?
Click here to see answer by solver91311(24713)

Question 626408: The length of a rectangle is 2 feet more that its width. Find the dimensions of the rectangle if its area is 63 square feet. Show your work using a quadratic equation to solve.
Click here to see answer by nerdybill(7384)

Question 626473: I need help learning how to work the quadratic equations from beginning to end and knowing how to find the right numbers that go in the equations. For example;

Thank you for your time,
Markana
Click here to see answer by jim_thompson5910(35256)

Question 626359: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
F(x)=3x^2-12x+3
What is the vertex?______
What is the equation of the line of symmetry?________
What is the maximum/minimum of f(x)?_________
Is the value, f(2)= -9 a minimum or a maximum?
Please graph. Thank you!
Click here to see answer by lwsshak3(11628)

Question 626560: No idea why I am having so much trouble with this!
I must solve for x and type the answer in the form of "a+bi", using radicals as needed.
x^2 - x +8 = 0
Any help is greatly appreciated! Thank you!
Click here to see answer by Alan3354(69443)

Question 626550: can u explain pi to me and what it is
Click here to see answer by Alan3354(69443)

Question 626550: can u explain pi to me and what it is
Click here to see answer by Edwin McCravy(20054)

Question 626645: The area of square-shaped flower garden is 64m^2. It is surrounded by a walk of uniform width.
a.) how would you represent the length of one side of the walk?
b. )what expression represents the total area of the garden and walk?
c.) if the walk is 15m. What is the area?
Click here to see answer by nerdybill(7384)

Question 627044: find JK if j(-3,-4) and k(-7,5)
Click here to see answer by jim_thompson5910(35256)

Question 627055: Please help solve: 9x^2-64=0
Click here to see answer by jim_thompson5910(35256)

Question 627057: Please help solve: y^2-9y-10=0
Click here to see answer by jim_thompson5910(35256)

Question 626973:
Click here to see answer by Maths68(1474)

Question 627080: Tickets = -0.2x^2+12x+11
a. does the graph of this equation open up or down? how did you determine this?
b.describe what happens to the ticket sales as time passes?
c. use the equation to determine the last day that tickets will be sold?
d. will tickets peak or be at low during the middle of the sale? how do you know?
e.after how many days will the peak or low occur?
f. how many tickets will be sold on the day when the peak or low occurs?
g. what is the point of the vertex? how does this number relate to your answers in parts e and f?
h. how many solutions are there to the equation-0.2x^2+12x+11=0? how do you know?
i. what do the solutions represent? is there a solution that does not make sense? if so, in what ways does the solution not make sense?
Click here to see answer by solver91311(24713)

Question 627084: solve the system algebraically. Find the number of solutions for the system
{2x-y=-2
{-6x+6y=6

Click here to see answer by stanbon(75887)

Question 627084: solve the system algebraically. Find the number of solutions for the system
{2x-y=-2
{-6x+6y=6

Click here to see answer by solver91311(24713)

Question 627105: Given the function f(x) = 2(x + 8), find x if f(x) = 12
Click here to see answer by jim_thompson5910(35256)

Question 627237: answer for (5z-2)=1/(7z+z)
Click here to see answer by stanbon(75887)

Question 627433: how do I do negative square roots.

Click here to see answer by jim_thompson5910(35256)

Question 627539: f(x)=1/3(x+4)^2+7
find vertex,line of symmetry,value of f(x),min or max,graph
Click here to see answer by reviewermath(1029)

Question 627599:
Click here to see answer by psbhowmick(878)

Question 627758: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
x^2-x +6=0
Click here to see answer by reviewermath(1029)

Question 627756: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
x^2 -16x +4 =0
Click here to see answer by jim_thompson5910(35256)

Question 627764: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
-3x2 -5x =-2
Click here to see answer by solver91311(24713)

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, 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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