Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 190717: (5x +2)^2=9 Solve
Click here to see answer by Alan3354(69443)

Question 190786: Write a quadratic equation in the varible x having the given numbers as solutions, Type the equation in standard form ax*+bx+c=0. Solution is 2. I do not understand how to go about to getting the equation when I have other information except the solution.
Click here to see answer by stanbon(75887)

Question 190782: (x-13)squared =20, The question is (x-13)to the 2nd power = 20. My question how do I factor this.
Click here to see answer by stanbon(75887)

Question 190782: (x-13)squared =20, The question is (x-13)to the 2nd power = 20. My question how do I factor this.
Click here to see answer by Alan3354(69443)

Question 190779: The question is , the lenght of a rectangle is twice the width. The area is 648sqrt. find the length and the width. I have never been very good at math and I have being trying to do this on my own but can not seem to understand how word problems work.
Click here to see answer by stanbon(75887)

Question 190795: I have a question that I am having trouble with.
It is about venture capital. A man invested 12,000 in a new restaurant when the restaurant was sold 2 yearS later he received 27,000. I am to find the average annual return by solving the equation 12,000(i+r)^2=27,000

I have subtracted 12000 from each side giving me r^2=15000. This does not seems right. Am I on the right track? Can you please help?
Click here to see answer by solver91311(24713)

Question 190793: Can you please help? I am stuck on a problems this evening and am getting no where.
The one problem I would like to ask is:
There are 3 square wheat fields. A man observed that the side of one field was 1 kilometer longer than the side of the smallest field and the side of the largest field was 3 kilometers longer than the side of the smallest field. The total area of the 3 fields is 38 square kilometers. I am suppose to find the area of each field.
I have tried setting up with x+(x+1)+(x+2)=38 or x^2+3x+3x+9
Am I on the right track in finding the correct answer? Please help.
Click here to see answer by Alan3354(69443)

Question 190832: f(x)=(x-1)(x-3)/x^2+x-2
Click here to see answer by Mathtut(3670)

Question 190856: Write a quadratic equation having the given number as a solution
-5, only solution
Click here to see answer by Mathtut(3670)

Question 190849: 20^2+x^2=(2x)^2

Click here to see answer by checkley75(3666)

Question 190929: what 2 numbers when multiplied equal 24 but when added equal -10? or in other words
Thank you !!
Jalee Stafford
Click here to see answer by stanbon(75887)

Question 190990: A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many of each are there?
Click here to see answer by Mathtut(3670)

Question 191139: xsquared-8x-9=0
Click here to see answer by stanbon(75887)

Question 191129: 4xsquared -x-18=0
Click here to see answer by checkley75(3666)

Question 191143: cAN i HAVE DECIMALS FOR MY SOLUTION?
Click here to see answer by solver91311(24713)

Question 191175: X^2 + 2X +1 = 81
How do I solve this?
Click here to see answer by Alan3354(69443)

Question 191152: give the usual ax^2 + bx + c form of the quadratic function wich has a= 1, and has two zeros z= 3 + 2i and z'= 3 - 2i
Click here to see answer by edjones(8007)

Question 191226: I need to know how to set three different equations that have the solution of 5. Solve your equations for your particular variable to prove the solution is 5.

Click here to see answer by stanbon(75887)

Question 191246: I need help in giving an exact and approximate solution to three decimal places. . x^2+6x+9=81
Click here to see answer by checkley75(3666)

Question 191250: Find the x values at which the following parabolas cross the x-axis.
a) y= x^2 + 5x + 4
b) y= x^2 + 4x + 5
Click here to see answer by Mathtut(3670)

Question 191249: Find the height, of a ball, above ground using the following information.
wait 2 seconds, velocity is 55 ft/sec, initial height above ground is 2 ft
Click here to see answer by solver91311(24713)

Question 191307: Solve for x
If the solutions are complex numbers, then give soulutions in the usual a + bi form
a) x^2 - 6x + 9 = 0
b) x^2 + 4x + 7 = 0
Click here to see answer by jim_thompson5910(35256)

Question 191323: Solve for X
4/x+3 - 2/x-3 = 2
Click here to see answer by stanbon(75887)

Question 191331: I do not know how to find the x-intercept and the vertex of a quadratic equation. For example I have this problem: y=X^2+8x+8 and I do not know how to find the x-intercept and the vertex. This is a worksheet that my teacher hand wrote.
Click here to see answer by scott8148(6628)

Question 191351: How do you find the x-intercept of a quadratic equation.
Click here to see answer by kara!(17)

Question 191563: y to the 2nd power -18y+81=64

Click here to see answer by dancinsavy546(1)

Question 191570: f(x)=3x^2-7x-11 I was able to get the solutions but now i need to find the x intercepts. I am having problems find the solutions. this is from a teacher handout
Click here to see answer by jim_thompson5910(35256)

Question 191497: Solve for X Show algebraic steps.
4/x+3 - 2/x-3 = 2
Click here to see answer by bsmath(21)

Question 191655: Solve by completing the square. First divide to make sure that the coefficient of x^2 is 1
9x^2+18x=-8
I completed the square but dividing to make sure that the coefficient is 1 I am not understanding. Here is what I did...
9x^2+18x+8=0
(3x+4)(3x+2)
3x+4=0 3x+2=0
3x=-4 3x=-2
x=-4/3 x=-2/3
Click here to see answer by nerdybill(7384)

Question 191715: solve quadratic equation
x^2=6x-3
Click here to see answer by nerdybill(7384)

Question 191816: 9*(x+2/x+3)^2-6*(x+2/x+3)+1=0
Click here to see answer by Earlsdon(6294)

Question 191815: What is the maximum product of two numbers that add to -12? What numbers yield this product?
I came up with 36; -6 and -6 but I am not sure if that is correct
Click here to see answer by Alan3354(69443)

Question 191814: An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 720ft of brass piping. What dimensions will maximize the area of the atrium?
Click here to see answer by Earlsdon(6294)

Question 191813: The value of a share of I.J. Solar can be represtented by V(x)=x^2-6x+13, where x is the number of months after January 2004. What is the lowest value V(x) will reach and when did that occur?
Click here to see answer by Earlsdon(6294)

Question 191817: (a) Find a quadratic function that fits the following data. (b) Use the function to estimate the number of daytime accidents that occur at 50km/h
Travel Speed #of daytime accidents
(in km/hr) (for every 200 million km driven)
60 100
80 130
100 200
Click here to see answer by RAY100(1637)

Question 191862: 2x^2-x=-9
Click here to see answer by orca(409)

Question 191893: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by tvandenberg(45)

Question 191892: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by tvandenberg(45)

Question 191926: Solve:
s-4√s-1=0
Click here to see answer by solver91311(24713)

Question 192030: This one is driving up the wallll. 2/y=3/y-1/2
Click here to see answer by scott8148(6628)

Question 192007: A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by Mathtut(3670)

Question 192032: I have never tried one like this can someone help me. the equation is 15x^4-13x^2+2=0
Click here to see answer by Earlsdon(6294)

Question 192033: The text asks us to solve the following statements using either the "object dropped" or "object thrown" formulas.
Given formulas:
Object dropped
Object thrown
h=height (ft)
s=initial height (ft)
t=time in motion
v=initial velocity (feet/second)
The statement:
An acorn falls 45 feet from the top of the tree.
This is what I have tried:
The acorn falls so I used the "object dropped formula". The height (feet) that the acorn fell was 45 feet and the initial height of the acorn was 45 feet. This is how I wrote that out:

Then I attempted to solve for 't'.
I subtracted 45 from both sides ending up with:

I noticed right away that in order to make this true 't' had to be 0. But if t=0 then that means it took the acorn 0 seconds to fall down from the top of the tree. Impossible right???
What am I doing wrong? Please help.

Click here to see answer by stanbon(75887)

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