Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 201620: Solve equation with quadratic formula
3n^2-15=-4n
Click here to see answer by jsmallt9(3296)

Question 201591: x^2+8x+144=16/9
Click here to see answer by jim_thompson5910(28595)

Question 201614: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation
Click here to see answer by solver91311(16897)

Question 201632: x^2+x-42=0
Click here to see answer by jim_thompson5910(28595)

Question 201640: solve the equation with the quadratic formula:
9m^2=-2
Click here to see answer by jim_thompson5910(28595)

Question 201639: solve the equation with the quadratic formula:
8r^2=9
Click here to see answer by Alan3354(30993)

Question 201639: solve the equation with the quadratic formula:
8r^2=9
Click here to see answer by jim_thompson5910(28595)

Question 201636: Hi, Could you help me to find a way to this problem?!Tanks=)
One number is 6 less than a secound number.The product of the numbers is 48 more than the square of the smaller number.Find the two numbers.
I tryed to solve with this way but i couldnt finish it:

Click here to see answer by RAY100(1637)

Question 201666: FIND THE VALUE OF 'X' BY QUADRATIC FORMULA
1. 9x^2-9(a+b)x+2a^2+5ab+2ab^2=0
2.a^2b^2x-(4b^4-3a^4)x-12a^2b^2=0
I WILL BE THANKFUL
PRIYAL
Click here to see answer by jim_thompson5910(28595)

Question 201718: This is a word problem and I can't use the perfect square I have to use the quadratic equation
5x7 photo that I have to put on a piece of paper
the area of the mat should equal that of the picture. I have to determine the proper l and width.
5x7 = 35 sp"
(5 + 2x)(7+2x) = 35
answer: l = 10.33 w = 9.33
but it's wrong that is larger than the photo
Click here to see answer by Alan3354(30993)

Question 201725: f(x)+3x^2-x+4
find
f(2)
f(2x)
f(x+2)
Click here to see answer by solver91311(16897)

Question 201727: f(x)=3x^2-x+4
find
f(2)
f(2x)
f(x+2)
Click here to see answer by solver91311(16897)

Question 201692: sketch the graph of the function
y=2x^2-16x+35
Click here to see answer by Alan3354(30993)

Question 201740: Solve the equation x^2 + 8x - 2 = 0 using both the quadratic formula and completing the square method.
Click here to see answer by Alan3354(30993)

Question 201688: solve the equation by taking square root:
8x^2-3=-155
Click here to see answer by RAY100(1637)

Question 201690: solve the equation with the quadratic formula:
9m^2=-2
Click here to see answer by RAY100(1637)

Question 201687: solve by completing the square:
b^2-8b-38=10
Click here to see answer by solver91311(16897)

Question 201744: A retailer spen $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Rewrite the equation of (n-2)(3+(48/n))=48+22 in a quadratic equation.
Click here to see answer by ankor@dixie-net.com(15656)

Question 201805: Find the quadratic equation that has one solution of 5.
Click here to see answer by vleith(2825)

Question 201886: Please, I need help.
for the line 2x-5y=852
find the slope?
find the slope as a line to it
thanks sooooo much
Click here to see answer by PRMath(123)

Question 201885: Hi there. I need some help.
solve for x or y.
2x-3y=2
7x-7y=5
I dont understand the -2
Click here to see answer by PRMath(123)

Question 201889: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it!

Click here to see answer by checkley77(12569)

Question 201889: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it!

Click here to see answer by jim_thompson5910(28595)

Question 201939: Hi Please help me answer this hard word problem.
An Airplane whose speed in still air is 530mi/h carries enough fuel for 10 hours of flight. On a certain flight it flies against a wind of 30 mi/h. On the return flight it travels with a wind of 30 mi/h. How far can the plane fly without refueling?
Thank you Very much,
Leo
Click here to see answer by scott8148(6628)

Question 201970: Can anyone help me with any of these?
1) Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How much did each share actually cost, and how many shares did he buy?
Number of shares purchased:___
Price per share:$_____
2) The square of Mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?
___ years old.
3) One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2 times the other leg by 4 inches.
Hypotenuse = ___ inches
leg = ___ inches

Click here to see answer by rfer(12662)

Question 201981: Find the sum of the x solutions for x^2-x=12. thank-you.
Click here to see answer by jim_thompson5910(28595)

Question 201982: solve for x: (x+3)^2=5. thanks for your help.
Click here to see answer by jim_thompson5910(28595)

Question 201983: Solve for x: (x+3)^2=5. thanks for your help.
Click here to see answer by jim_thompson5910(28595)

Question 201986: Hiiii,, Could you please help me about this?!I solved it but the answers was undefined!!!!Also could you tell me what is the discriminant?Thanksss
By examination of the discriminant, determine the nature of the roots for the following equation:

Click here to see answer by vleith(2825)

Question 202023: I need help about this one as well!
If a, b, and c are three consecutive integers, find the integers if in
Click here to see answer by Alan3354(30993)

Question 202021: Could you help me about this?
For what value of K will the equation (2-k).x^2+(1-k).2x+(k-1) be a perfect square?
Click here to see answer by Theo(3464)

Question 202022: Could somebody guide me about this which is about the relation between the roots and the coefficients?
For what values of m will the equation have
a) one root the reciprocal of the other,
b) one root equal zero
c) equal roots

Click here to see answer by Edwin McCravy(8909)

Question 202085: please help me solve the following problem f(x)= x^2-4x+3
Click here to see answer by jim_thompson5910(28595)

Question 202089: Can anyone help me with ANY of these? I don't understand how the roots come into play. The title of this section is Sum and Product of Roots.
Question#1
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
a = __ b = __ c = __

Question #2

x2 + 6x -55 = 0 and root1 = 5, root2 = -11
(-b/a)= -__ / __

Question #3
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
root1 + root2 = 5 + -11 = ___

Question #4

x2 + 6x -55 = 0 and root1 = 5, root2 = -11
The sum of the roots is the same as (Hint: use letters)
= -__ /__

Question #5
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
(c/a) = __ /__
Question #6
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
root1 x root2 = 5 x (-11) = ___
Question #7
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
The product of the roots is the same as (Hint: use letters)
= - ___ /___
Question #8
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
Identify a, b, and c. (Hint: you may have to arrange the equation in the form ax2+ bx + c = 0 .)
a =___ b = ___ c = ___
Question #9
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
(-b/a)= -___ /___
Question #10
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
root1 + root2 =(1/2)+(-1/4)= ___
Question #11

8x2 - 2x = 1 and root1= 1/2 root2= -1/4
The sum of the roots is the same as (Hint: use letters)
= ____

Question #12
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
(c/a)= ____ /___
Question #13
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
root1 x root2 = (1/2)(-1/4) = ___

Question #14
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
The product of the roots is the same as (Hint: use letters)
= ___ /___

Click here to see answer by stanbon(57361)

Question 202134: Hello,
I need some help on quadratic equations. Any and all help will be appreciated.
1. Solve using the quadratic formula: x^2 - 3x = 4x -1
2. Solve using the quadratic formula: x^2 -5x - 1 = -7
3. Solve by completing the square: x^2 + 8x + 2 = 0
Thank you in advance for your help.

Click here to see answer by Theo(3464)

Question 202158: Solve using the quadratic formula: 15x^2+7x=2
Click here to see answer by Earlsdon(6287)

Question 202167: Business club members at USIU decide to chatter a bus at a cost of $900 for a trip to the Kenya National Archives.At the last minute, five people decide not to go.This raises the transport cost per person by $2.How many people originally intended to take the trip?
Let the original number of group be x
Number of final group be x-5
Charge per person originally $900/x
Charge per person finally $900/x-5
charge per person orignally - $2 = Charge per person finally
900/x - 2x(x-5) = 900/x-5
900(x-5)- 2xx + 10x =900x
900x - 4500 - 2xx + 10x = 900x
2xx + 10x - 4500 = 0

Click here to see answer by vleith(2825)

Question 202138: Find the vertex of f(x)-x^2-10x+21. Is the vertex the maximum or minimum of f? How do you know?
Click here to see answer by vleith(2825)

Question 202156: Solve by completing the square: x^2+6x-5=0
Click here to see answer by vleith(2825)

Question 202173: Sorry about the earlier typo: The question was written as f(x)= x^2-10x+21
Click here to see answer by RAY100(1637)

Question 202157: Solve 2x^-2-x^-1-1=0
Click here to see answer by RAY100(1637)

Question 202264: Find the vertex of the quadratic function f(x) = -(x-2)^2+3. Does this function have a maximum or a minimum? How do you know?
Click here to see answer by RAY100(1637)

Question 202262: Find the vertex of f(x) = x^2-10x+21. Is the vertex the maximum or minimum value of f? How do you know?
Click here to see answer by Earlsdon(6287)

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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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