Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 210229: A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should be placed 8 feet from the fence for stability.
To the neasrest foot, how long of a ladder will be needed?
Click here to see answer by stanbon(75887)

Question 210237: The sum of three consectuvie integers is 228. Find the integers
Click here to see answer by Alan3354(69443)

Question 210196: The profit P, in dollars, gained by selling x computers is modeled by the equation
P = -5x^2 +1000x + 5000. How many computers must be sold to obtain a profit of $55,000.00?
Click here to see answer by jim_thompson5910(35256)

Question 210320: The formula s=16t^2 is used to approximate the distance, s, in feet that an object falls freely in t seconds. Use this formula to sole the problem:
A man drops his keys off a building 1420 feet high. How long does it take the keys, falling freely to hit the ground?
Click here to see answer by Earlsdon(6294)

Question 210174: A kite is flying on 52 feet of string. How high is it above the ground if it's height is 28 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.
Click here to see answer by Earlsdon(6294)

Question 210323: sorry I already ask this question but i cannot find it again
(x+ 1/x)^2 -2(x+ 1/x)+1=0 this part of equation in quadratic form
I already got an answer x^4-2x^3+3x^2-2x+1=0 But i got stuck here i dont know what to do next
thank you for your help
Click here to see answer by jim_thompson5910(35256)

Question 210358: Please help me solve this equation:
Click here to see answer by tutor_paul(519)

Question 210348: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from a height of 6 feet off the ground. Its height H, in feet, at t seconds is given by the equation H = -16t^2 + 64t + 6. Find all times t that the object is at a height of 54 feet off the ground.
Click here to see answer by Alan3354(69443)

Question 210350: An object is moving in a straight line. It initially travels at a speed of 6 meters per second, and it speeds up at a constant acceleration of 4 meters per second each second. The distance d, in meters, that this object travels is given by the equation d = 2t^2 + 6t, where t is in seconds. According to this
equation, how long will it take the object to travel 108 meters?
Click here to see answer by Alan3354(69443)

Question 210380: Use the quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.
f(x)=7x^2-2
I have already come up with what I believe is the solution of the quadrtic,
x=0.534 x= -0.534.I don't understand how to get the other points on the graph and have it look like it's supposed to.
Thanks

Click here to see answer by Earlsdon(6294)

Question 210401: Give exact and approximate solutions to three decimal places. (x-2)^2=45
Click here to see answer by stanbon(75887)

Question 210452: Good afteroon. I have a question regarding completing the square. Here is the equation:
I keep coming up with x= 1 plus minus .816 but in class the answer was x=3+square root 6 over 3 and x=3-square root 6 over 3. Does that seem correct? If so I just don't know how it got that way? Any help would be appreciated. :)
Click here to see answer by tutor_paul(519)

Question 210479: The vertex of a parabola is (-2,4). One x-intercept is -4. What is the other x-intercept.
Click here to see answer by Earlsdon(6294)

Question 210629: f(x) = 7x2 - 2 how do I use the Quadratic Formula to find the x-intercepts of this equation?
Click here to see answer by jim_thompson5910(35256)

Question 210648: Hello, I need to solve using the quadratic formula.

Click here to see answer by Earlsdon(6294)

Question 209954: .5/x + 3.5/2x = .25 x=?
Click here to see answer by Tanzem(4)

Question 210709: A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per second. In how many seconds will the be at the same altitude?
Click here to see answer by Alan3354(69443)

Question 210728: 1/2X+2=-1/2X
Click here to see answer by stanbon(75887)

Question 210748: simplify this equation:

Click here to see answer by tutor_paul(519)

Question 210708: A ball is shot into the air. It's height , h in metres after t seconds is modeled by h=-4.9t^2 + 30t +1.6. How long to 2 decimal places will it take the ball to reach a height of 35m?
Click here to see answer by Earlsdon(6294)

Question 210762: (6x-5)^2/3 = x^1/3
I have no idea what to do.
Click here to see answer by stanbon(75887)

Question 210762: (6x-5)^2/3 = x^1/3
I have no idea what to do.
Click here to see answer by tutor_paul(519)

Question 210707: A model rocket is shot into the air and its path is approximated by h = -5t^2 + 30t where h is the height of the rocket above the ground in metres and t is the elapsed time in seconds. When will the rocket hit the ground?
Click here to see answer by Earlsdon(6294)

Question 210914: what is the solution to 3x^2=8x+9 ?
Click here to see answer by jim_thompson5910(35256)

Question 210917: Solve the equation by introducing a substituition that transforms this equation to quadratic form.
x^-8-17x^-4+16=0
Click here to see answer by nerdybill(7384)

Question 210919: Solve the equation by introducing a substituition that transforms this equation to quadratic form.
3=1/(x+1)^2+2/(x+1)

Click here to see answer by nerdybill(7384)

Question 210930: The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is the shorter leg plus 4 . Find the length of the shorter leg.
Click here to see answer by nyc_function(2741)

Question 210929: The medium side of a right triangle is 7 more than the shortest side. The longest side is 7 less than 3 times the shortest side. Find the length of the shortest side of the triangle.
Click here to see answer by DRichardson(63)

Question 210931: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more than three times the distance traveled by the car heading east. Find the distance between the cars at that time
Click here to see answer by josmiceli(19441)

Question 210791: what is the equation of the quadratic function described of the minimum value of f is f(3)= -5 and f(1) = 2
Click here to see answer by scott8148(6628)

Question 210968: I do not under stand how to solve quadratic equations and I'am stuck on solving this problem please use simple terms. y=-x2-4x-3 Thank you for all you do!
Click here to see answer by Earlsdon(6294)

Question 210971: Solve the equation 15p ^ 2 + 7p - 4 = 0 by completing the square.

Click here to see answer by Earlsdon(6294)

Question 210974: A rectangular skating rink measures 40 m by 20 m. Next year the rink is to
be doubled in area by extending each side by the same amount. Determine how
much each side should be extended, to the nearest tenth of a meter.
Click here to see answer by Earlsdon(6294)

Question 210975: at t=0 seconds, Vikki stood on the roof of a building and threw a penny in the air. The height in feet h(t) of the ball at t seconds is given by the formula H(t) = -16t^2 + 96t + 56. a) how tall is the building? b) when is the ball at its highest point? c) to what height does the ball travel? d) when does the ball strike the ground?
Click here to see answer by stanbon(75887)

Question 211003: The vertex of a parabola is ( -2,4) . one x-intercept is -4 what is the other
x � intercept ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 211016: What is the quadratic equation for this question x2 - 5x - 24 = 0

Thank you for what you do!
Click here to see answer by Alan3354(69443)

Question 210743: simplify this equation:
-10(5-8)^2+2^3x1^2x3-8(5)=
Click here to see answer by RAY100(1637)

Question 211055: f(x)=x^2-5x+3
part 1: f(x+h)
part 2: f(x+h)-f(x) over h ,h does not equal 0
Click here to see answer by RAY100(1637)

Question 211092: Alice throws a ball to Connor. The height, h (in meters) after time, t (in
seconds) is approximated by the formula h= 2 + 28t � 5t^2. Calculate the time
required for the ball to reach a height of 15m.
Click here to see answer by algebrapro18(249)

Question 211164: The height of an object tossed upward with an initial velocity of 104 feet per second is given by the formula h = -16t^2 + 104 t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure
Click here to see answer by Earlsdon(6294)

Question 211161: A farmer drives a tractor from one town to another a distance of 120 kilometers. He drives 10 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
Click here to see answer by stanbon(75887)

Question 211196: solve the equation by the square root method (x-2)^2=64
Click here to see answer by rfer(16322)

Question 211200: How do you solve: x-6sqrtx+8=0
and
(x^2-6x)^2-22(x^2-6x)-135=0
Click here to see answer by edjones(8007)

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