Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1147630: The dimensions of a rectangle were originally 10 units by 12 units. The area of the rectangle increased by 135 square units, and the dimensions were increased by the same amount. Find the dimensions of the new rectangle.
Click here to see answer by Boreal(15235)

Question 1147629: In 10 years from now, my age will be the square of my age 10 years ago. How old am I?
Click here to see answer by josgarithmetic(39613)

Question 1147629: In 10 years from now, my age will be the square of my age 10 years ago. How old am I?
Click here to see answer by VFBundy(438)

Question 1147629: In 10 years from now, my age will be the square of my age 10 years ago. How old am I?
Click here to see answer by ikleyn(52754)

Question 1147628: The sum of two numbers is 25 and the sum of their squares is 337. Find the numbers.
Click here to see answer by Alan3354(69443)

Question 1147635: The product of 2 consecutive integers is 528. Find the value of each integer with work.
Click here to see answer by Boreal(15235)

Question 1147635: The product of 2 consecutive integers is 528. Find the value of each integer with work.
Click here to see answer by ikleyn(52754)

Question 1147652: 3x^2+7x-3=0 answer as a comma separated list
Click here to see answer by josgarithmetic(39613)

Question 1147771: 108=-0.5x^2 + 25x - 117
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Question 1147771: 108=-0.5x^2 + 25x - 117
Click here to see answer by ikleyn(52754)

Question 1147903: A = bh, subject to the constraint b - h = 7.
Use the constraint to express b in terms of h.
A in terms of h.
please answer with the steps of how to do it..
thank you in advance
Click here to see answer by rothauserc(4718)

Question 1147909: One of the roots of the quadratic equation x^2+16x+q=0 is −1. Find q.
Click here to see answer by oscargut(2103)

Question 1147909: One of the roots of the quadratic equation x^2+16x+q=0 is −1. Find q.
Click here to see answer by josgarithmetic(39613)

Question 1147974: What are prime numbers?
Click here to see answer by Theo(13342)

Question 1148201: How do i make a quadratic equation from vertex point (4,-3) and point (6,-1)?
Click here to see answer by josmiceli(19441)

Question 1148201: How do i make a quadratic equation from vertex point (4,-3) and point (6,-1)?
Click here to see answer by MathTherapy(10549)

Question 1148201: How do i make a quadratic equation from vertex point (4,-3) and point (6,-1)?
Click here to see answer by greenestamps(13195)

Question 1148338: A rectangle has perimeter 70 feet, and its area is 294 sq-feet. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.)
length = ________ feet
width = _________ feet
Click here to see answer by Alan3354(69443)

Question 1148336: A rectangle is 5 inches longer than it is wide. Find the dimensions of the rectangle if its area is 159 sq-inches.
length = ______ inches
width = ______inches
Click here to see answer by Alan3354(69443)

Question 1148408: Find a formula for the quadratic function whose graph has y-intercept at y=15 and zeros at x=1 and x=4.
Click here to see answer by josgarithmetic(39613)

Question 1148451: 2x^2+3x-2=0
Click here to see answer by Boreal(15235)

Question 1148610: a(2+x) + b(1-x) = 3x+5
What is a and b ?
Click here to see answer by josgarithmetic(39613)

Question 1148856: Use the elimination method.
{−4x+y=−68x−2y=14
The only solution is (0, −32) .
The only solution is (0, −6) .
There is an infinite number of solutions.
There is no solution

Click here to see answer by Alan3354(69443)

Question 1149032: a fastball is hit straight up over home plate. the balls height, H( in feet), from the ground is modeled by the quadratic function defined by H(t)=16^t2+80t+5 where t is measured in seconds. at what time did the fastball reach the maximum height? solve algebraically
Click here to see answer by ikleyn(52754)

Question 1149179: #1. 4t2−1t−4=0
Solve by the quadratic formula:
#2. −6x2=−2x−20
Solve by the quadratic formula:
#3. 3x2=−12x+15
Solve using the quadratic formula. List your answers, separated by commas.
#4. 5x2−35=0
Solve using the quadratic formula. List your answers, separated by commas.
#5. 2x2−4=0

It must be in fraction form. It can not be done as a decimal.

Click here to see answer by Alan3354(69443)

Question 1149178: Solve by the quadratic formula:
−10x2−31x−15=0
It has to be in fraction form.
Click here to see answer by Alan3354(69443)

Question 1149178: Solve by the quadratic formula:
−10x2−31x−15=0
It has to be in fraction form.
Click here to see answer by ikleyn(52754)

Question 1149180: The height y (in feet) of a ball thrown by a child is
y=−114x2+2x+3
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? Correct feet
(b) What is the maximum height of the ball? Incorrect feet
(c) How far from the child does the ball strike the ground? Incorrect feet
Click here to see answer by Alan3354(69443)

Question 1149181: Kristina went on a 220 mile trip to a soccer game. On the way back, due to road construction she had to drive 11 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Click here to see answer by josgarithmetic(39613)

Question 1149327: Write the quadratic equation whose roots are 6 and -1 , and whose leading coefficient is 4 . (Use the letter x to represent the variable.)
Click here to see answer by ikleyn(52754)

Question 1149328: Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5. (Use the letter x to represent the variable.)

Click here to see answer by Alan3354(69443)

Question 1149330: Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4.
Use the letter x to represent the variable
Click here to see answer by Alan3354(69443)

Question 1149382: To Whom it May Concern,
Could you help me with this question:
Find the quadratic which has a remainder of -6 when divided by x - 1, a
remainder of -4 when divided by x -3 and no remainder when divided by x + 1
Click here to see answer by Edwin McCravy(20054)

Question 1149537: A ball is kicked upwards from a rooftop 5m above the ground. It reaches a maximum height of 8m. At 3s, the ball is 1 m above the ground. Initial kick is at 0s and the ball follows a quadratic trajectory, at what time does the ball reach the maximum height?
Click here to see answer by Alan3354(69443)

Question 1149594: I n solving how to figure out need help 8-15+20 I already know the answer but cannot figure how to get to the answe
Click here to see answer by josgarithmetic(39613)

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