Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 656062: 9x^2-36=0
Click here to see answer by shweta(56)

Question 656246: My text book is the Blitzer College Algebra book and the text asks to "Solve each equation by making an appropriate substitution" and the problem I need help with is...
9x^4=25x^2-16
Click here to see answer by Tatiana_Stebko(1539)

Question 655102: Write the expression in the form a + bi, where a and b are real numbers.
__9___
6 + 2i
Click here to see answer by shweta(56)

Question 656728: 2x^2 +3x =2
Click here to see answer by lynnlo(4176)

Question 656802: Find all real solutions to the equation:
(x-4)^2=16
Click here to see answer by htmentor(1343)

Question 656854: Determine the quadratic equation with integral coefficients having the roots:
3/2 and -1/2
Click here to see answer by shweta(56)

Question 656858: Find the min/max and vertex of the function:
g(x) = 2x2 - 6x2 + 2
Click here to see answer by lynnlo(4176)

Question 656860: Determine the quadratic equation with integral coefficients having the roots:
2 + √ 7 and 2 - √ 7

Click here to see answer by solver91311(24713)

Question 657285: can you please help me with the follwing Quadratic Questions.
2x^-12x+17
giving the answer in surd form.
Minimum value of 2x^+8x+7
Thank you
Click here to see answer by stanbon(75887)

Question 657277: Hello, I'm having trouble solving the second part of this equation. Its a factoring problem. Here's my problem.
16x^4 -41x^2 +25=0
(x^2 -1) (16x^2 -25)
x=1 and x= 5/4
so, (1, 5/4) however my book also says (-5/4, -1) is also a solution. I dont know how to get that negative answer? Thank you so much for your time.
Click here to see answer by colliefan(242)

Question 657773: Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5
Click here to see answer by lwsshak3(11628)

Question 657900: kind sir,
I have recently been introduced to linear and quadratic equations from the T.I.M.E guide for ntse. It has not been explained in brief so I would kindly ask you to send me a report over the subject. I am a student of class 8 and is therefore new to this with a desire to succeed. i would also want to ask you a question that how would we obtain two roots negative and positive during the calculation of x+y = 10.
thank you
Click here to see answer by lenny460(1073)

Question 658507: I don't know how to solve a quadratic equation by graphing. I know how by using the quad. equation. this is the problem I need to solve by graphing. 5x^2 + 20x+15=0
Click here to see answer by checkley79(3341)

Question 658614: d � 34.8 = 5.3 the solution
Click here to see answer by lynnlo(4176)

Question 658701: If the square of a number is added to 8 the result is 6 times the number. find the numbers?
Click here to see answer by stanbon(75887)

Question 658702: a rectangular parking lot has a length of 20 feet than its width the area is 2400 square feet. What are the dimensions of the parking lot?
Click here to see answer by Alan3354(69443)

Question 659030: 1. move the constant term to the right side of the equation
2.muliply each term in the equation by 4 times the coefficient of the x^2
3. square the coefficient of the original x term and add to both sides of the equation
4.take the square root of both sides
5.set the left side of the equation equal to the positive square root of the number on the right side and solve for x
6. set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.

x^2 -2x -13 = 0

x^2 + 12x -64 = 0

I need these two problems worked out so I can learn from them and learn how to do them for my assignment.

Click here to see answer by Theo(13342)

Question 659065: how many solutions exist for a quadratic equation? explain

Click here to see answer by rfer(16322)

Question 659127: solve by factoring and using the principle of zero products....(5x +8)(x + 2)= 29x + 28....I am having a hard time with this and need to see the work...thanks
Click here to see answer by reviewermath(1029)

Question 659269: What property justifies "x+5=16, then x=11"
Click here to see answer by MathLover1(20849)

Question 659398: I know how to factorise equations and solve such as x^2+4x-21=0 already, but Im not sure how to do it when there is a number in front of x^2. For example:
3b^2+5b+2=0
How could I factorize and then solve this equation?
Click here to see answer by jim_thompson5910(35256)

Question 659608: 9U^2-85U+196=0
CAN SOMEONE EXPLAIN TO ME HOW TO COMPLETE THE SQUARE. I THOUGHT THAT YOU TOOK HALF OF -85 AND SQUARE IT BUT ITS NOT WORKING OUT. THE ANSWER THAT I GOT FROM ANOTHER TUTOR IS
9U^2-85U+(85/6)^2
WHERE DID THE 6 COME FROM?????

9U^2-85U+196=0 (ORIGINAL PROBLEM)
COMPLETE THE SQUARE
Click here to see answer by lynnlo(4176)

Question 31972: Solve the following quadratic equations by using an optimum method.
x^2 - 9x - 4 = 6
Please help.
Thank you.
Click here to see answer by Wahmed301@(1)

Question 659873: Find the value of k such that the following has a repeated real solution and express your answer as a fraction:
-12x2-2x+k=0

Click here to see answer by Edwin McCravy(20054)

Question 659966: Find two positive numbers whose product is 256 and whose sum is a minimum. List them in non-decreasing order.

Click here to see answer by htmentor(1343)

Question 660123: You have 40 cars. There 9 times as many white cars as there are yellow cars. How many white and yellow cars are there
Click here to see answer by ReadingBoosters(3246)

Question 660330: I am trying to help my sister with her homework and I am stumped. Please help. here is the question. (this is a take home test she has failed once already and was told to re-do it. She skipped all of these because she doesnt understand them and her teacher wont help her.)
Three objects are launched from the top of a 160ft platform. The first object is launched downward at 48ft/sec. The second object is dropped. The third object is launched upward at 96ft/sec. Write a height model for the first, second and third object. And determine the length of time the third object was in the air.
Click here to see answer by josmiceli(19441)

Question 660598: use the function f(x)=3- 4/5x to find the solution to f(x)=0; find the x-intercept of f(x); find the zero of the function f(x)
Click here to see answer by stanbon(75887)

Question 660647: Gasoline mileage of automobiles is influenced by the horsepower of an automobile. below is a table of data, use the data to answer question
HP-49- 52- 55- 58- 61- 64- 67
MPG-65.4- 56.5- 46- 49.2- 40.3- 39.4- 36.1
a.Find the linear model that fits the data, round to four decimal places
b.Graph the model found in part a and the scatter plot of the data on the same axes. Discuss how the good model fits the data.
c. Using the model, find the miles per gallon of the automobile when the horse power is 60.
d. interpret, in words, what the slope of the model in part a represents
I swear my professor is nuts..I cant even find anything in the book to help, and have no idea how to show b in a graph. He says to use excel, so i just purchased microsoft office 2010 thinking it would maybe tell me how to graph something when I got that far but don't see anything about math problems when I open the program.
Click here to see answer by MathTherapy(10551)

Question 660906: What is the expression in factored form?
9x^2 � 4
Click here to see answer by stanbon(75887)

Question 660985: 6x^2+11x-7=0
Click here to see answer by jim_thompson5910(35256)

Question 660402: a rectangular pasture is to be fenced along 4 sides and divided into three parts by two fences parallel to one of the sides. find the dimensions of the pasture if the total amount of fencing is 800 yards and the area of the pasture is 9200 yards square . . algebra.com
Click here to see answer by KMST(5328)

Question 661044: A playground, 40 meters wide by 60 meters long, is to be doubled in are by extending each side an equal amount. By how much should each side be extended.

Click here to see answer by colliefan(242)

Question 661068: help me solve please:
(2x-3)(3x-2)=0
Click here to see answer by ewatrrr(24785)

Question 661099: Determine the solution set of (x + 2)2 = 36.
{6, -8}
{4, -8}
{4, -6}
Click here to see answer by colliefan(242)

Question 661465: find all solutions
x^3-512=0
Click here to see answer by Alan3354(69443)

Question 661512: please help me solve this equation for y:

Click here to see answer by ReadingBoosters(3246)

Question 661515: Please help me solve this equation(5r-4)+4=0

Click here to see answer by ReadingBoosters(3246)

Question 661700: Hi,
I'm having a difficult time solving the following problem:
Point P lies on the perpendicular bisector of segment ST. If S has coordinates (5,14), T has coordinates (-3,2), and P has coordinates (-a/2,a), what is the value of a?
Any assistance would be greatly appreciated.
Thank you!
Click here to see answer by ewatrrr(24785)

Question 661631: The sum of two numbers is 8 also 15 times the sum of their reciprocals is 8. Find the numbers.
Click here to see answer by ReadingBoosters(3246)

Question 661717: A) Apply the quadratic formula to find the roots (x-intercepts)of the given function.
B) Graph the function - you will also need to find the vertex of each parabola, and most likely additional points to complete the graph. Label the roots (if plot-able) and the vertex with their ordered pairs.
f(x)= x^2 - 6x + 5
g(x) = x^2 + 4x + 13
Please help I don't know were to begin, Thank You.
Click here to see answer by ewatrrr(24785)

Question 661685: the equation x^2-x+1=0 has zeros p and q, and equation 3x^2-2x+3= 0 has zeros r and s
without solving the equations compute (p-r)(q-r)(p-s)(q-s)
Click here to see answer by kevwill(135)

Question 661854: priyankaa invested $2000, part at 8% per annum and the rest at 10% per annum. After one year the total interest earned was $190. How much did she invest at each rate?
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