Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 462416: for the following equation, state the value of the discriminant and then describe the nature of the solutions: 10x^2 - 4x - 7 = 0
Click here to see answer by algebrahouse.com(1079)

Question 462366: Factor: Factor the product of polynomial
2r^2+5r+4
Please show me the step by step to get the answer. Thanks
Click here to see answer by solver91311(16897)

Question 462419: Identify the degree of each term of the polynomial and the degree of the polynomial: -5x^3 + 3x^2 + 3x + 2
Click here to see answer by solver91311(16897)

Question 462365: Factor: Factor the product of the polynomial.
6x^2-13x+6
Please show me step by step to get the answer. Thanks
Click here to see answer by solver91311(16897)

Question 462500: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring.

1) State the pros and cons of each of the four methods
2) When might each method be most appropriate?
3) Under what circumstances would you prefer to use one method over the other? Prioritize the four methods based on your preferences
Click here to see answer by rwm(914)

Question 462550: find all real solutions of the equations : (x^2 +1)^2 - 18( x^2 +1) = -17
Click here to see answer by MathLover1(6639)

Question 462687: Can 3sqrt(3)+sqrt18 be simplified even more?
Click here to see answer by nerdybill(6963)

Question 462637: Use the discriminant to determine all values of k that would result in the equation
x^2 − kx + 4 = 0 having equal roots.

Click here to see answer by robertb(4012)

Question 462509: Please help me find the quadratic function given by that models this data: Year - 1940, 1968, 1997; Wage ($) - 0.25, 1.60, 5.15. I would love to know the steps to do this, and then I can find the answer. I just don't know where to start. Thank you.
Click here to see answer by jsmallt9(3296)

Question 462778: Determine the graph of the quadratic equation y = x^2 - 2x + 3.
Click here to see answer by Gogonati(809)

Question 462778: Determine the graph of the quadratic equation y = x^2 - 2x + 3.
Click here to see answer by MathLover1(6639)

Question 462810: Without graphing, tell how many x-intercepts y = –3x2 + 4x + 4 has.
A)3 intercepts B)2 intercepts C)0 intercepts D)1 intercept
Click here to see answer by richard1234(5390)

Question 463055: Find the value of p if the roots of the quadratic equation 4x^2-(5p+1)x+5p=0 differ by 1
Click here to see answer by richard1234(5390)

Question 463056: (a) Find the value of m for which the line y=mx-3 is a tangent to the curve y=x+1/x and find the x-coordinate of the point at which this tangent touches the curve.
(b) Find the values of c and d for which {x:-5 ps. I have the answers but i do not know how to derive to the answer. Your help will be appreciated. Thank you:)
answers: (a)m=-5/4, x=-2/3 (b)c=2, d=15
Click here to see answer by htmentor(789)

Question 463239: Factor: Factor the product of polynomial
4r^2-20ry+25y^2
Please show me steps by steps to get the answer. Thanks
Click here to see answer by Edwin McCravy(8913)

Question 463237: Factor: Factor the product of polynomial
6x^2-13x+6
Please show me steps by steps to get the answer. Thanks
Click here to see answer by Edwin McCravy(8913)

Question 463331: 9x^2=2x-5
My answer is x=4/3
Is this the correct answer?
Click here to see answer by Alan3354(30993)

Question 463331: 9x^2=2x-5
My answer is x=4/3
Is this the correct answer?
Click here to see answer by jorel1380(2518)

Question 463353: How can you solve a quadratic equation when only the solution is given?
Click here to see answer by Alan3354(30993)

Question 463659: How is the zero product property used to solve a quadratic equations? What would be an good example of this?
Click here to see answer by richard1234(5390)

Question 463628: I am stuck on this problem, any help would be greatly appreciated.
Given a rectangle with a fixed perimeter of 372 feet, what dimensions would yield the maximum area? What is the maximum area?
Click here to see answer by rfer(12675)

Question 463347: The area of this rectangle is 45 square units. Find its length (the horizontal side) and the width (the verticle side). Length is x+6, width is x-6
a) Write an equation using the formula and the given information.
45=
b) Solve the equation, giving only the solution(s) that make sense in the problem. The solution for x is_____
c) Use the solution to find the indicated dimensions of the figure.
Length=
Width=
Click here to see answer by lwsshak3(6522)

Question 463852: 16. What are the roots of the equation 3x2 − 9x − 5 = 0?
(Points : 5)
Click here to see answer by MathLover1(6639)

Question 463887: Could you help me answer this problem.
Simplify by taking roots of the numerator and the denominator.
3sqrt 729^14/y^3
Click here to see answer by stanbon(57409)

Question 463889: Solve:
3x^2+3x-90=0
Please show me the step by steps to get the answer. Thanks
Click here to see answer by stanbon(57409)

Question 463888: p(x)=-2x^2+39x-132 find the maximun and minimum i belive the vertex is (9.75,566.65)
Click here to see answer by richard1234(5390)

Question 463903: Solve:
12t-36=t^2
Please show me step by step to get the answer. Thanks
Click here to see answer by stanbon(57409)

Question 463986: factor: the polynomial
2r^2+5r+4
Please show me step by step to get the answer. Thanks
Click here to see answer by Alan3354(30993)

Question 464008: Solve each formula for the indicated letter. Assume that all variables represent nonnegative numbers.
A = pi*r^2 + pi*rs, for r (Surface area of a cone)

Click here to see answer by stanbon(57409)

Question 464030: Given the quadratic function f(x) = 25x^2 – 100x + 100, find a value of x such that f(x) = 25.
Click here to see answer by Alan3354(30993)

Question 464121: if you have a perimeter of 24, what point on the parabolas graph represents the maximum area?
Click here to see answer by Alan3354(30993)

Question 464126: solve this equation by using the quadratric form.
x 1/2-5√3x 1/4+18=0
Click here to see answer by Alan3354(30993)

Question 464114: Find the x- and y- intercepts for the graph of the following equation.
5x + 6y = 120
Click here to see answer by nerdybill(6963)

Question 464128: solve this equation by using the quadratic form
3/x-7+4/x+2=1

Click here to see answer by Alan3354(30993)

Question 464128: solve this equation by using the quadratic form
3/x-7+4/x+2=1

Click here to see answer by Edwin McCravy(8913)

Question 464160: I need help with this problem please
solve by completing the square
x^2-9/2x-1/2=0
x^2-9/2x=1/2
(9/2/2)^2=(9/4)^2=81/16
x^2-9/2x+81/16=1/2+81/16
(x-9/2)^2=89/16
89/16 is where I get confused. Where do they get 89. This is where I need help to finish the equation and others as well. Thank you for you time and explanation
Click here to see answer by Alan3354(30993)

Question 464125: solve this equation by using the quadratic form.
x 1/2+√3x 1/4-18=0
answer in decimal form
topic of question is algebra 2
Click here to see answer by Alan3354(30993)

Question 464264: I would sincerely appreciate it if you could please help me solve the following equation:
23/(x-1) + 3 - 70/(x^2-4x+3)=0
I know that when x^2-4x+3 is factored, it becomes (x-1)(x-3), and I think I need to get rid of the denominator to solve the question, but I'm experiencing some difficulty finishing the question.
Click here to see answer by algebrahouse.com(1079)

Question 464277: Suppose that the function is defined as follows.
h(x)= -(x-5)^2-3

Graph the range of on the number line below. Please answer this ASAP. very URGENT. Thnks!
Click here to see answer by lwsshak3(6522)

Question 464302: Dear Algebra Gods, please help me answer this question? I am grateful for your help and wisdom.
Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph the function:
f(x)=1/2(x+9)^2+5
Click here to see answer by stanbon(57409)

Question 464301: Dear Algebra Gods, please help me answer this question? I am grateful for your help and wisdom.
Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph the function:
f(x)=1/2(x+9)^2+5
Click here to see answer by edjones(7569)

Question 464409: Can you please show the working using the principle of zero products
30d^2+34d+8 = 0
Click here to see answer by Edwin McCravy(8913)

Question 464378: Hello, can you help me find the solutions to this question? Thank you in advance.
Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function:
f(x)=-2x^2+2x+8
Click here to see answer by lwsshak3(6522)

Question 463871: Factor: Factor the product of polynomial.
8m^4n-18m^2n
Please show me step by steps to get the answer. Thanks
Click here to see answer by lwsshak3(6522)

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, 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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, 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