Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 308383: how do i solve 12 x � +19 x=21 by completing the square and using the formula a(x-h)�+k
Click here to see answer by CharlesG2(834)

Question 308428: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from; ax^2+bx+c=0,
Solution: 5, only solution.

Thanks!
Click here to see answer by rapaljer(4671)

Question 308462: Solve by completing the square.
x^2-18x=-106
Click here to see answer by ankor@dixie-net.com(22740)

Question 308520: I am trying to solve the following: x2 -4x -3 = 0. I can get as far as 4 plus or minus the sqrt of 28 over 2. I don't understand why this becomes 2 plus or minus the sqrt of 7. It seems to me that it should be 2 plus or minus the sqrt of 14.
Thanks. Marieann
Click here to see answer by ankor@dixie-net.com(22740)

Question 308793: Solve this quadratic equation using the quadratic formula.
x2 - 6x + 6 = 0

2x2 - 2x = 1

3x2 + 5x + 1 = 0
Click here to see answer by solver91311(24713)

Question 308861: How much water must be added to dilute 10 quarts of a solution that is 18% iodine so that the resulting solution will be 15% iodine?

Click here to see answer by stanbon(75887)

Question 308848: 3t^2 + 9t - 2 = 0
Click here to see answer by stanbon(75887)

Question 308764: One of the roots of the cubic equation x^3-4x^2+2x+4=0 is
A. 1+ the square root of 3
B. -1+ the square root of 3
C. -1+2 the square root of 3
D. 1+2 the square root of 3
Click here to see answer by stanbon(75887)

Question 308899: How is factoring used in solving quadratic equations?
Click here to see answer by unlockmath(1688)

Question 308934: y=3x^2-6
Click here to see answer by checkley77(12844)

Question 308887: 600,000An automobile dealer has 600,000$ invested in compact cars & mid sized cars....The profit on the sale of the compact cars is 1% and the profit on the mid sized cars is 16%....how much did the dealer invest in midsized cars if the overall profit on the total investement is 12%
Click here to see answer by checkley77(12844)

Question 308886: assume that i sell 66 sandwiches when selling them for $1. if i lose 5 customers each time i raise the price $.25, what is the price that will produce the higherst amount of sales? what is the amount of money i will bring in? solve using quadratics.
Click here to see answer by ankor@dixie-net.com(22740)

Question 308973: Solve.

Click here to see answer by jim_thompson5910(35256)

Question 309099: 14x^2=56x
Click here to see answer by profemmanuel2q(4)

Question 309140: the equation 2x-3x^1/2 + 1 = 0 has two solutions. The sum of the solutions is:
a 1 b 1/2 c 5/4 d 4 e 3/2
Click here to see answer by texttutoring(324)

Question 309144: solve by taking square roots 4p^2=36
Click here to see answer by texttutoring(324)

Question 308990: assume that you sell 65 sandwiches for $1 each. if you lose 8 customers each time you raise the price $.10 what is the price that will produce the greatest amount of sales? what is the amount of revenue that you will bring in? solve using quadratics
Click here to see answer by ankor@dixie-net.com(22740)

Question 309273: How do you find the axis of symmetry, the vertex point, the y intercept, and the zeros to graph a parabola?
Click here to see answer by stanbon(75887)

Question 309225: The height (h) of a baseball (t) seconds after being hit is given by h(t)= -16t^2 + 80t + 9. What is the height of the baseball when it is into the air? What is the maximum height of the baseball and when does it reach this height? When does the baseball hit the ground?
Click here to see answer by nerdybill(7384)

Question 309305: factorize 6ab-24bx=?
Click here to see answer by stanbon(75887)

Question 309439: Can you factor 3x^2+25x-14 please?
Click here to see answer by Fombitz(32388)

Question 309440: a frog leaps off the ground at 2 feet per second; how many seconds does it take the frog to land
Click here to see answer by nerdybill(7384)

Question 309446: What is the square root of 36y^5?
Click here to see answer by JBarnum(2146)

Question 309481: Complete the square to make each binomial a perfect square trinomial
x^2-12x
Click here to see answer by richwmiller(17219)

Question 309511: solve.
w^4-4w^2-2=0
what is the solution.
W=
(type an exact answer using radicals if needed, use commas to seperate answers
Click here to see answer by Fombitz(32388)

Question 309616: For the Equation 4X^2-100=0, did I do my work right? 4X^2-100=0
+100 +100
4X^2=100
/4 /4
X^2=25
My teacher said that if it was a prime number or if it had no perfect square you could leave it as it is is this true and is my answer right? Thank you

Click here to see answer by checkley77(12844)

Question 309686: I just want to make sure I got this one right.
2x^2-7x=4
2x^2-7x-4=0
(2x+4)(7x-4)=0
2x+4=0 7x-4=0
2x=-4
x=-1/2 x=4
Can any body tell me if I got it right.
Click here to see answer by Alan3354(69443)

Question 309684: Solve the following quadratic equation
3v^2+4v-2=0
Having trouble really with this one PLEASE HELP!!!
Click here to see answer by jim_thompson5910(35256)

Question 309683: Solve the following quadratic equation
x^2-2x+1=0
Click here to see answer by jim_thompson5910(35256)

Question 309682: N(x)=0.4x^2+8.8x+11
x=days
Peak sales of tickets will be on what day and how many tickets are sold that day?
Click here to see answer by ankor@dixie-net.com(22740)

Question 309681: The width is 2 ft less than the length. The area is 8ft^2. What is the length and width?
Click here to see answer by alicealc(293)

Question 309878: what is the range and domain of
Click here to see answer by stanbon(75887)

Question 309871: z^2 + 15z + 36
Click here to see answer by mananth(16946)

Question 309975: I need help to find all real or imaginary solutions to each equation.
-x^2 + x + 12 = 0
Click here to see answer by jim_thompson5910(35256)

Question 310072: The equation is: y = 1x2+4x+3
The parabola graph puts it as: x= -1, -3.
The equation didn't have negative numbers in it in the first place. So why does the graph make them negatives?
Click here to see answer by Alan3354(69443)

Question 310094: Use the following quadratic equation to complete parts a and b below. You must show all work.
x2 + 4x - 21 = 0
a. Solve by factoring.
b. Solve using the quadratic formula
Click here to see answer by Alan3354(69443)

Question 310359: Use the quadratic Formula to solve this equation. Round to the nearest tenth. Show your work.:
A rectangular courtyard covers 20ft squared. The courtyard is 3 ft longer than it is wide. Find the dimensions of the courtyard.
Click here to see answer by JBarnum(2146)

Question 310344: I am trying to solve the following problem:
height of a kicked ball is modeled using
The question I need to solve is this:
If the nearest person is 5 ft horizontally from the point of impact how high must that person reach in order to block the punt?
Click here to see answer by solver91311(24713)

Question 310473: I am having trouble with square roots. Can you help me with these problems, please?
1. Multiply -- sqrt 3/5 x sqrt 6/4 =
2. Simplify -- sqrt 27/p^2 =
3. Divide -- sqrt 9x^5y divided by sqrt 12x^2y^6 =
4. Divide -- 2 divided by sqrt 3 plus sqrt 6 =
Thank you.
Click here to see answer by stanbon(75887)

Question 310555: Examine the following equation y=-2x^2+20x+1
What shape does the graph of this equation make?
Does the graph open up or down?
Click here to see answer by Fombitz(32388)

Question 310556: Find the coordinates of the midpoint for the following equation y=-2x^2+20x+1 The answer needs to be in the form (x-coordinate, y-coordinate)
Click here to see answer by Fombitz(32388)

Question 310593: if x^2 -3x - 2 = 0 ,then what is the value of 2x^2 - 6x + 11 ?
Click here to see answer by Fombitz(32388)

Question 310630: How long does it take to get a response back?
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