Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 92260: the park is a perfect right triangle. its hypotenuse is 40m long one leg of the triangle is 8 m shorterthan the other leg. find the length of each leg of the triangle.
Click here to see answer by stanbon(75887)

Question 92265: Find the exact solutions:
x^2 + 2x + 3 = 0
Click here to see answer by checkley71(8403)

Question 92337: Joe must sell 3 cars this month to meet his qouta. Tonight he has after-dinner appointments with five prospective customers, each of whom happens to be interested in a differant car. If has 30% chance of success with each customer, what is the probability that he will meet his qouta by tomorrow morning? Suppose that three of Joe's customers were interested in the same car, and that they'll go elsewhere if it has already sold. Would it be appropriate to use the binomial distribution under these conditions? Why are Why not?
O.K. I think the last part of the question I have answered, my answer is "The trials are independent , that is the outcome on one trial does not affect the outcome on the other trials.
Click here to see answer by stanbon(75887)

Question 92379: Suppose that the height of a box is to be 1 foot. Determine which shape for the bottom of the box will give you the greatest volume if the perimeter of the bottom of the box must be 3.125 feet.
Click here to see answer by ankor@dixie-net.com(22740)

Question 92387: 27-Y^2=0
and
square root of9x/2 - 2 +7
Click here to see answer by stanbon(75887)

Question 92399: Hello to all,I need some help with some problems.The first one is,Use the quadratic formula to solve:x^2+8x+7=0.The next one is,Use the quadratic formula to solve:x^2+12x+11=0.The next one is,Use the quadratic formula to solve:5x^2+12=-6x.And the last one is,Find the y-intercept of y=2^x.Thanks to whoever can help.
Click here to see answer by checkley71(8403)

Question 92401: My problem is:
An arrow is shot from the top of a 144 foot tower with an initial velocity of 128 feet per second. The height of the arrow, h feet, after t seconds is given by the equation.
h=-16t^2+128t+144
a. If the arrow reaches its maximum height in 4 seconds, find its maximum height.
b. How many seconds will it take for the arrow to reach the ground?

Click here to see answer by jim_thompson5910(35256)

Question 92349: Find all positive values for k for which each of the following can be factored.
x^2 + x - k
Click here to see answer by Nate(3500)

Question 92349: Find all positive values for k for which each of the following can be factored.
x^2 + x - k
Click here to see answer by ptaylor(2198)

Question 92472: The supply equation is y=28x + 2025 and the demand equation is y= -17x=6120. The equilibrium for demand is.
Click here to see answer by stanbon(75887)

Question 92469: The line 6x + 9y=8 has slope of.
Click here to see answer by jim_thompson5910(35256)

Question 92509: The equation h=16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180ft.?
Click here to see answer by jim_thompson5910(35256)

Question 92470: Select the line parallel to 6x + 14y=20
Click here to see answer by checkley71(8403)

Question 92516: Hello out there,I need some help with some problems,The first one is,Find the y-intercept of y=2^x.The next one is,Use quadratic formula to solve:5x^2+12=-6x.The third one is,Use the quadratic formula to solve:x^2+12x+11=0.The last one is,Describe how the graph of y=(x-6)^2+5 changes from the parent graph of y=x^2.Thanks for any one can help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 92542: Find all real or imaginary solutions to this equation:
x^-2-9x^-1+18=0
I am no sure really where to start whether I should square the entire problem or what I am stumped. Please help!!
Click here to see answer by stanbon(75887)

Question 92644: Here is the problem im being asked to solve:
x^4-5x^2-36=0
Click here to see answer by checkley75(3666)

Question 92642: I think I'm being asked to complete the square:
w(6w+5)=4
Click here to see answer by ankor@dixie-net.com(22740)

Question 92654: Solve by completing the square:
y^2-6y-8=0
Your help is truly appreciated! Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 92781: Solve by completing the square:
x^4-5x^2-36=0
Click here to see answer by checkley75(3666)

Question 92889: I'm really glad you're here. Math is just not my thing, obviously, but I'm glad its yours. Here it is:
1. The approximate distance it takes to stop a car, based on the speed the car is traveling, is given in the following chart:
Miles per Hour Stopping Distance (ft)
25 62
35 106
45 161
50 195
55 228
65 306
a. Find the quadratic function based on the stopping distance for 55 mph and 65 mph and the fact that at 0 mph the stopping distance is 0 feet.
b. Use that equation to predict the stopping distance for 55 mph and 65 mph and compare them with the distances given in the chart.

c. If the equation continues to be valid for higher speeds, how many feet would it take to stop a drag racer that reaches a speed of 230 mph?
Thanks so much for your help! Let me know if you or someone else knows trig or calculus...that not my cup of tea either.

Click here to see answer by stanbon(75887)

Question 92892: I am having major problems with this word problem and need some help
The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 99cm^2, Find the dimensions of the rectangle to the nearst thousandth.
Thanks a million
Click here to see answer by scott8148(6628)

Question 92924: I am having problems with this word problem.
The height h in feet of an object after t seconds is given by the function
h=-16t^2+60t+9
How long will it take the object to hit the ground. Round to the nearest thousandth.
Click here to see answer by psbhowmick(878)

Question 92925: I am having problems with this word problem.

The demand and supp;y equations for a certain item are given by
D=-5p+40
S=-p^2+30-8
find the equilibrium price.
Thanks a million
Click here to see answer by Earlsdon(6294)

Question 92943: I am not good at these and I am having some problems
Find the x- intercepts
y=x^2-5x-10
and y=x^2-4x+4
Thanks you
Click here to see answer by venugopalramana(3286)

Question 92942: I am having problems with these problems
Solve by using the quadratic formula
x^2-x-2=0
and also 4x^2-3x+3=0
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 92972: What is the root of X^2+X+1=0?
I have no idea how to do roots. Thanks again!
Click here to see answer by jim_thompson5910(35256)

Question 92888: I am having problems with solving these two
Solve: X^2=12
and solve: X^2-80=0
Thanks a million
Click here to see answer by checkley75(3666)

Question 93003: I AM HAVING PROBLEMS SOLVING THIS PROBLEM AND NEED SOME HELP
SOLVE BY COMPLETING THE SQUARE
X^2=5X+2
THANK YOU
Click here to see answer by stanbon(75887)

Question 93090: I am not good at all with word problems and needs help
A rectangle garden is to be surrounded by a walkway of constant width. The gardens dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2
What must be the width of the walkway to the nearest thousandth?
Thank you
Click here to see answer by checkley75(3666)

Question 93089: I am having some problems with theses problems
Solve: X^2+5=21
and also solve (x-4)^2=3
and 5(x-2)^2=3
Thanks a million
Click here to see answer by tutorcecilia(2152)

Question 93122: I need help with these problems
Solve by using the quadratic formula: 3x^2=11x+4

and also find the axis of symmetry: y=-x^2+4x+2

Thanks a million
Click here to see answer by Earlsdon(6294)

Question 93137: I am in need of help:I am lost on these.
Graph the quadratic after completeing the given table value. Y=x^2+2
and
Graph the quadratic after completeing the given table value. y=x^2+2x-3

Thanks a miilion
Click here to see answer by checkley75(3666)

Question 93184: I need help to solve this problem I am having problems figuring it out
Find the x - intercepts y=x^2-2x+4
thanks a million
Click here to see answer by venugopalramana(3286)

Question 93184: I need help to solve this problem I am having problems figuring it out
Find the x - intercepts y=x^2-2x+4
thanks a million
Click here to see answer by checkley75(3666)

Question 93185: I need help to solve these problem I am having problems figuring it out.
Identify the axis summetry, greate a suitable table of value, then sketck the graph(include the axis of summetry).
The first one is y=x^2-4x
and the other one is y= -x^2+3x-3
thanks a million
Click here to see answer by venugopalramana(3286)

Question 93157: formula for arc of a baseball h=-0.003x2(to 2nd power)+ 1.202x + 3.936
h-height of ball at distance from plate x If fence is 400ft from home plate and 8ft high, will the ball clear the fence to be a home run?
Thank You in Advance

Click here to see answer by bucky(2189)

Question 93226: I need some help I am having problems

Graph the quadratic equation after completeing the given table of values. Y=-x^2+1

Table of value is
X y
-2
-1
0
1
2

Thank you
Click here to see answer by Nate(3500)

Question 93225: I need some help I am having problems solving these problems.
Solve: (x-4)^2=3
and solve 5(x-2)^2=3
Thank you
Click here to see answer by Nate(3500)

Question 93329: 6w+4>5w+4
Click here to see answer by jim_thompson5910(35256)

Question 93329: 6w+4>5w+4
Click here to see answer by tutorcecilia(2152)

Question 93321: Between 1992 and 1998 the percent of college freshman who planned to eventually get some type of medical degree can be approximated by s=-0.2369^2 + 1.425x + 6.905 where s represents the number of students and x represents the year. X=0 corresponds to 1992. In what year did this percentage reach a maximum?
Sorry, not from a text
Thanks in advance
Click here to see answer by ankor@dixie-net.com(22740)

Question 93340: Problem: From the information below,write an equation and then solve the equation.
My mother is three times as old as my sister. If the difference between their ages is 22 years, find both of their ages.

Click here to see answer by Earlsdon(6294)

Question 93345: Problem: From the information below, write an equation and then solve the equation.
A rectancle is 8cm longer than it is wide. The perimeter of the rectangle is 72 cm. Find the dimension of the rectangle.

Click here to see answer by checkley75(3666)

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