Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 726772: Please show me how to solve this word problem:
The width of a rectangular parking lot is 53ft less than its length. Determine the dimensions of the parking lot if it measures 220ft diagonally.

Click here to see answer by Alan3354(69443)

Question 726857: graph the parabola: y= -x2-4x-4
use the quadratic formula to solve the equation to the exact value or round to two decimal places. 2x^2-x=1
Click here to see answer by MathLover1(20849)

Question 726936: If is a perfect square , then find the value of a.
Please help me out with this problem.
Click here to see answer by josgarithmetic(39617)

Question 727151: draw an example of a quadratic equation that has two, one and no solutions.
Click here to see answer by jim_thompson5910(35256)

Question 727151: draw an example of a quadratic equation that has two, one and no solutions.
Click here to see answer by MathLover1(20849)

Question 727204: So I need to write an equation in ax^(2) + bx+ c = y form. I have two ordered pairs and need to get a third ordered pair. The first pair I have is the vertex (2, -5) and passing through (3,1). I am supposed to find a third point through symmetry. I just need the third point and I can solve from here.
Click here to see answer by jim_thompson5910(35256)

Question 727287: how many soultions does y = 3x^2 - 5x + 12 have?

Click here to see answer by josgarithmetic(39617)

Question 727294: I need help in my math problem I don't know if I I should use complete the square method or quadratic formula for 3y^2-7y+4=0 may you show me how to solve for it
Click here to see answer by josgarithmetic(39617)

Question 727590: Mandy drove slowly for 3 hours in a rain storm. When the skies cleared she increased her speed by 30 mph and drove 4 more hours, completing her 295 mile trip. How fast was she driving in the rain storm?
Click here to see answer by solver91311(24713)

Question 728014: Hello sorry to bother you guys! Can you help me with this question?
Find all zeros to this polynomial:
X^3 - 3X^2 - 10X + 24 = 0
We were taught to solve this problem by synthetic division...
And I get different answers every time, please help!!!
Click here to see answer by solver91311(24713)

Question 728070: write the quadratic equation whose roots are -4 and -5 and whose leading coefficient is 5 use the letter x to represent the variable
Click here to see answer by nerdybill(7384)

Question 728062: answer the question below about the quadratic function g(x) =2x^2+8x+12
1) does the function have a minium or maxium value
2) what is the funtion mininum or maxium value
3) where does the minimum or maxium occur
Click here to see answer by nerdybill(7384)

Question 728468: what is the answer to 5x^2+2x+2=0 in a+bi form?
Click here to see answer by stanbon(75887)

Question 728509: Write a quadratic equation having the given numbers as solutions.
8/5, 5/3
Possible answers:
A) 3x2 -40x + 25=0
B) 3x2 + 25x + 40=0
C) 3x2 + 49/5x + 8=0
D) 3x2 -49/5x + 8=0
E) 3x2 + 40x + 25=0
Click here to see answer by stanbon(75887)

Question 728513: Solve.
26m2 + 102m + 55=0

Click here to see answer by lynnlo(4176)

Question 728527: The sum of five and a number is three. Find the number.
Click here to see answer by lynnlo(4176)

Question 728527: The sum of five and a number is three. Find the number.
Click here to see answer by Alan3354(69443)

Question 728581: Help with a few problems, please.
1. Solve by completing the square: 2x^2 + x + 2 = 0
2. Solve by using the quadratic formula: 5x^2 - 2x + 3 = 0
choices:
3. Write a quadratic equation that has integer coefficients and has solutions 4/3 and 6.

Click here to see answer by MathLover1(20849)

Question 728585: Please help
Solve: (sqrt of 2x - 3) = x - 1
choices: (a.) 6, (b.) 6 and 2, (c.) 2, (d.) -2

Solve: (sqrt of 3x - 3) - (sqrt of x) = 1
choices: (a.) 4 (b.) 2 (c.) 1 and 4, (d.) 2 and -1
Thank you

Click here to see answer by MathLover1(20849)

Question 728593: Please help
Solve: (sqrt of 2x - 3) = x - 1

Solve: (sqrt of 3x - 3) - (sqrt of x) = 1

Click here to see answer by MathLover1(20849)

Question 728619: how to factor x^2-7x-30
Click here to see answer by stanbon(75887)

Question 728619: how to factor x^2-7x-30
Click here to see answer by Alan3354(69443)

Question 728629: how to factor 49x^2-84x+36

Click here to see answer by Alan3354(69443)

Question 728634: how to factor the folowing
15x^2+7x-2
16x^2-81
3x^2+12x-63

Click here to see answer by jim_thompson5910(35256)

Question 728609: Stuck and needs help with these math problems please help
1. Solve: x/3 = 3/x-8
2. Solve: 3x + 2/x + 2 - 1 = 2x
3. Solve: (x-2)(x-4)(x+1)<0
4. Solve: 3x/x-5 <5
Click here to see answer by stanbon(75887)

Question 728772: When a ball is thrown into the air, its height depends on the time since the ball was thrown. The equation for its height is h=-t raised to the power 2 + 2t + 3. Find the greatest height attained by the ball.
A. 1 foot
B. 4 feet
C. 5 feet
D. 3 feet
Click here to see answer by KMST(5328)

Question 728790: really need help on this, can normally solve these.-
the question asks me to plot the following quadratic-
x^2 - x - 6 (x squared minus x minus 6).
my work just dosent seem right. iam coming across all these fractions, we never went over this in class. NEED HELP ASAP.
Click here to see answer by solver91311(24713)

Question 728798: how may I use the quadratic equation to determine the volume of a room that measures 15' x 20 ' x 10 ' high. Also how can graph the results. thank U in advance.
Click here to see answer by josgarithmetic(39617)

Question 728795: I am struggling with finding the resonable range for the function, . I tried to plug it into a graphing calculator but the line goes on forever and I dont know how to write that in the range, ___
Click here to see answer by josgarithmetic(39617)

Question 728875: Solve.
(k + 4)2/3 + 6(k+4)1/3 + 8=0
Click here to see answer by lwsshak3(11628)

Question 728889: qudratic formula (4x^2)+bx-3=0 slove for b. and one solution is -5/2
Click here to see answer by mananth(16946)

Question 729016: What are the solutions of the equation x2 + 4x = 96?
These are the possible answers, I think.
2, �48
�12, 8
(1 �2, 48
12, �8

Click here to see answer by lynnlo(4176)

Question 729025: a square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 24 square feet, find the lengths of the sides of the poster and sign.
Click here to see answer by checkley79(3341)

Question 729017: What are the solutions of the equation x2 + 14x = �130?
These are the four possible answers:
2, �16
10, �13
�2, 16
no solution

Click here to see answer by checkley79(3341)

Question 729013: What is the value of n so that the expression x� + 12x + n is a perfect square trinomial?
Click here to see answer by checkley79(3341)

Question 729013: What is the value of n so that the expression x� + 12x + n is a perfect square trinomial?
Click here to see answer by lynnlo(4176)

Question 729064: What is the value of n so that the expression x� + 12x + n is a perfect square trinomial?
Multiple choice:
6
36
72
144

Click here to see answer by josmiceli(19441)

Question 729111: 4d squared + 16 Factor each Polynomial

Click here to see answer by Alan3354(69443)

Question 729111: 4d squared + 16 Factor each Polynomial

Click here to see answer by erika514(39)

Question 729189: Please help me solve this quadratic: 4(x+9)^2=24
What I've tried doing:
4(x+9)^2=24
4x+36^2=24
4x+1296=24
4x+1272=0
I am not sure what to do from here.
I have also decided that it cannot be factored evenly.
Click here to see answer by sofiyac(983)

Question 729183: 4(x+9)^2=24
Click here to see answer by sofiyac(983)

Question 729229: Solve the equation: 0=x^2+4x-5 and then help solve the roots.

Click here to see answer by josgarithmetic(39617)

Question 729502: I have a question about quadratic equation. I know if you need to square a negative number then it will be that number with an I at the end but we haven't learned that yet so I'm not sure if I'm doing the problem right. Here's what I'm doing:
4x^2-6x+2=0
6 plus or minus square root of (-6^2-4(4)(2)over 2(4)
6 plus or minus square root of (-36-72) over 8
6 plus of minus square root of (-108) over 8
Can you tell me what I am doing wrong? Or would the problem be considered non solvable?
Click here to see answer by ankor@dixie-net.com(22740)

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