Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1013063: X^2+3x-18=0
Click here to see answer by thesvw(77)

Question 1013063: X^2+3x-18=0
Click here to see answer by fractalier(6550)

Question 1013053: Find the roots of 2x^2-kx+1
Click here to see answer by josgarithmetic(39614)

Question 1013053: Find the roots of 2x^2-kx+1
Click here to see answer by fractalier(6550)

Question 1013179: Hello, could you please help me solve this quadratic word problem: One of the earliest known quadratic equations comes from a 3800 year old document from ancient Egypt that now sits in the Berlin Museum in Germany. Translated into modern mathematical notation, the document, now known as the Berlin Papyrus, poses the following set of equations: x^2+y^2=100 y=3/4(x) solve for the values of x and y.
Click here to see answer by fractalier(6550)

Question 1013284: The area of the rectangle in the figure is 24 square meters. What is the width of the rectangle? Give answer to the nearest tenth
Click here to see answer by Alan3354(69443)

Question 1013361: 60x-120-22.5+10x-60+105=24x-54+27.3+20x-120
Click here to see answer by fractalier(6550)

Question 1013378: Write an equation: x if the width of a uniform path of garden that is 8m wide and 10m long. The area of the path is 40m^2.
Click here to see answer by josgarithmetic(39614)

Question 1013378: Write an equation: x if the width of a uniform path of garden that is 8m wide and 10m long. The area of the path is 40m^2.
Click here to see answer by ikleyn(52756)

Question 1013376: 2 numbers whose sum is 10 and the sum of their squares is a minimum. If x is the first number, express the minimum as a function of x and find the numbers.
Click here to see answer by ikleyn(52756)

Question 1013374: Write a quadratic equation whose roots are {sqrt. (3) +1} and {sqrt. (3) -1}.
Click here to see answer by josgarithmetic(39614)

Question 1013375: the area of a rectangle is 15 square inches. sum of its adjacent sides is 16 inches. Find its length and width
Click here to see answer by Alan3354(69443)

Question 1013372: the area of a room is 168 square feet. if the length 2 feet more than the breadith. Find the length and breadith of the room.
Click here to see answer by Alan3354(69443)

Question 1013551: In right triangle ABC, AC = x, BC = x + 1, and hypotenuse AB = 2x - 1. Find the length of AC only. [only an algebraic solution will be accepted]
Click here to see answer by ankor@dixie-net.com(22740)

Question 1013684: 4x^2-3x-4=0
Click here to see answer by rothauserc(4718)

Question 1013678: This is a word problem for quadratic equations that I have to solve and set up. I'm so confused.
A gardener has 10 trees. He plants 4 trees on each row. There are 5 rows how does it happen?
Click here to see answer by rothauserc(4718)

Question 1013673: If one root of the equation x^2+px+q=0 is twice of the second root, then prove that 2p^2=9q.
Click here to see answer by Boreal(15235)

Question 1013573: The height h (in feet) above the ground of a baseball depends upon the time t (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop sinlge whose height is described approximately by the equation h=-5t^2+45t+17. Ho long is the ball in the air? The ball reaches its maximum heght after how many seconds of light? What is the maximum height?
Click here to see answer by Alan3354(69443)

Question 1013706: How to solve u2=49 where U is a real number
Click here to see answer by fractalier(6550)

Question 1013830: An open box is to be formed out of a rectangle piece of cardboard whose length is 12cm longer than its width. To form the box, a square of side 5 cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up. If the box was to hold at most 1900 cm^3, what mathematical statement would represent the given situation?
Click here to see answer by macston(5194)

Question 1013975: So how would I go about solving this quadratic equation:
y=-1x^2 - 10x
I know the axis of symmetry is -5 because x=-b/2a. When I try to find the y axis however, I get y=25. Is that right? if not, how would I solve this question? Thanks for helping me!
Click here to see answer by josgarithmetic(39614)

Question 1013996: Word Problem: Paula increased the area of her garden by 108m^2. The rectangular garden was originally 15m by 18m. She increased the length and the width by the same amount. Find the new dimensions of the garden.
Click here to see answer by Alan3354(69443)

Question 1014084: Word Problem: The sum of two integers is 37 and their product is 342. What are the numbers?
I'm not sure if this is correct but I tried answering it. Here's what I got:
Let: x = be the number
37 - x = be the other number
x(37-x) = 342
37x-x^2 = 342
0 = x^2 - 37x + 342
At this point, I don't know what to do anymore. Please help me.
Click here to see answer by josgarithmetic(39614)

Question 1014083: Word Problem: What must be the dimensions of a rectangular lot whose perimeter is 400 ft, if the area of the lot is to be a maximum?
Click here to see answer by ikleyn(52756)

Question 1014082: Word Problem: A small pipe takes 4 more hour to fill a pool than a larger pipe. The two pipes were opened at the same time to fill a pool with water. After 3 hours, the larger pipe was close. It took two more hours for the smaller pipe to complete filling up the pool. How many hours will be needed for each pipe to fill the pool alone?
Click here to see answer by josgarithmetic(39614)

Question 1014137: Hello, Could you help me with this equation: Solve and correct the error. x^3-15x5=4+2x^2+1 x^3-2x^2-15x=0 x(x^2-2x-15)=0 (x-5)(x+3)=0 x={-3,5}
Click here to see answer by ikleyn(52756)

Question 1014174: Derive the quadratic equation formula from the equation ax^2+bx+c=0..
I tried to derive it becomes very complex and confusing
Click here to see answer by ikleyn(52756)

Question 1014417: a rectangular porch has dimensions of (x+3)feet and (x+4)feet. The area of the porch is 132 square feet. What are the length and width of the porch?
Click here to see answer by stanbon(75887)

Question 1014512: Mary works due north of home. Her husband works due east. They leave for work at the same time. By the time Mary is 7 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan?
Click here to see answer by Theo(13342)

Question 1014570: If an object is propelled upward from a height of s feet at an initial velocity of v feet per second, then its height h after t seconds is given by the equation
h= -16^2 + vt +s,
where h is in feet. If the object is propelled from a height of
8
feet with an initial velocity of
96
feet per second, its height h is given by the equation
h= -16t^2+96t+8.
After how many seconds is the height
148
feet?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1014659: How to solve the equation x^2-15x +50=0 . Write the answers in ascending order.
Click here to see answer by ikleyn(52756)

Question 1014684:
Click here to see answer by ikleyn(52756)

Question 1014684:
Click here to see answer by skippo(9)

Question 1014565: A garden has the shape of a right triangle with one leg
5
meters longer than the other. The hypotenuse is
5
meters less than twice the length of the shorter leg. What is the length of the shorter leg?
Click here to see answer by ikleyn(52756)

Question 1014720: aeroplane left 30min. later than its scheduled time and in order to reach distination 1500km away in time, it has to increase its speed by 250km/hr from its usual speed. determine its usual speed.
Click here to see answer by josgarithmetic(39614)

Question 1014858: how can i make the quadratic equation y=x^2+6x+5 into a word problem
Click here to see answer by ankor@dixie-net.com(22740)

Question 1014885: Flip a coin and toss a 1-6 number cube P(5 and tails)
Click here to see answer by robertb(5830)

Question 1014924: Given the quadratic function y=x^2-x+k-1 and the linear function y=x+1, find the number of points that their graphs have in common. (assume k>4)
Click here to see answer by robertb(5830)

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