Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 7418: Why do you factor a quadratic equation before you solve?
Click here to see answer by arunpaul(104)

Question 7575: Can you please help me find two consecutive positive integers that the sum of their squares is 85.
Click here to see answer by ichudov(507)

Question 7619: I think i basicly have this one. But could you try it to check my work. Thank you.
Graph the quadratic function. y=16-x^2, state the domain and range.
Click here to see answer by longjonsilver(2297)

Question 7689: Here is the problem. I tried several ways but I'm probably way off.

Swimming pool. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.

So, this is what I did.

(2x - 1)(x + 2)
(10-1) (5 + 2)
9 * 7 = 63
Area = 63 meters

OR......

(2x - 1)^2(x + 2)^2
(10-1)^2 (5 + 2)^2
9^2 * 7^2
81 * 49
Area = 3969 meters (I think this one is wrong)

OR..... using FOIL

(2x -1) (x + 2)
2x^2 + 4x - x - 2
2x^2 + 3 - 2
2x^2 + 1
2(5)^2 +1
Area = 51 meters

OR....
Multiplying vertically
2x - 1
x + 2
4x - 2
2x^2 +x
2x^2 + 5x - 2
50 + 25 - 2
Area = 73 meters

I tried, please tell me if I'm close. Thanks so much in advance for your help. I really appreciate it.

Click here to see answer by Earlsdon(6294)

Question 7801: Could you please help me with this problem ?
Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same? Hint: Using "m" for miles and "c" for cost, write one equation for each rental company.
Click here to see answer by prince_abubu(198)

Question 7871: If line k passes through the point (7,1) and is parallel to the graph of the line whose equation is y= 4x - 3, then what would the equation be?
Click here to see answer by Earlsdon(6294)

Question 7938: The equation 3y+7x=4 best describes which of the following:
-Point
-Parabola
-Line
-Circle
Explain your reasoning

Click here to see answer by longjonsilver(2297)

Question 8331: can you please help me with this question..
solve by any method.
y=-x-2
y=-3x+4
Click here to see answer by bonster(299)

Question 8347: I do not understand how to do the Quadratic Equation r2(squared) + 10r + 9 =0
Click here to see answer by bonster(299)

Question 8441: I am having trouble with this quadratic equation. Can someone please assist me?
Click here to see answer by Earlsdon(6294)

Question 8458: A retailer spent $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.
Construct an equation that will allow is to solve for the number of mugs, denoted by n, that were originally purchased.

Click here to see answer by srinivas123(23)

Question 8498: How do you solve a quadratic equation by factoring when it isn't equal to 0?
Problem 1:2x^2+5x=3
Problem 2:3x^2=6x

Click here to see answer by Earlsdon(6294)

Question 8493: How do you solve a quadratic equation that doesn't have a part C?
Equation: 3x^2-8x=-2
Click here to see answer by Earlsdon(6294)

Question 8547: My brother is having a problem solving the problem:
[(x^3)+(3x^2)-(4x)+3] / (x+1)
I've been working on it for like a half an hour now -- but I'm having a hard time remembering how to do it. Do you have any hints - or could you help me out? Thanks. -Julie
Click here to see answer by glabow(165)

Question 8566: I am wondering if i did this problem correctly, I was suppose to complete the sqaure. 4x^-4x=-15, the answer i came up with was...x=4+-2i Square root 11 over 4
Click here to see answer by Earlsdon(6294)

Question 8582: ok i have 2 problems
how do you solve both of these equations without any decimals or irrational answers?

Click here to see answer by rapaljer(4671)

Question 8591: I have two problems that I am stuck on.
1. 5z^2 - 4z + 1= 0

this is how I started.
5z^2 - 4z = -1
5z^2 4z + 4 = -1 + 4
(z-2)^2 = -3
z-2 = plus or minus i the square root of -3
2 + - i / 5
I dont even know if this is correct.

2. 5t^2 + 4t - 3 = 0

5t^2 + 4t = 3
5t^2 - 4z + 4 = 3 - 4
(t + 2)^2 = -1
t + 2 = =/- -1
then I'm lost. Any help would be greatly appreciated. Thank you.
Click here to see answer by rapaljer(4671)

Question 8494: For the quadratic equation 3x^2=7-2x I decided to subtract 3x^2 from both sides of the equation and came up with 0=-3x^2+7-2x and then from there I solved the equation using the quadratic formula. Is that the correct way to solve this equation?
Click here to see answer by rapaljer(4671)

Question 8627: What is the value of the discriminant and also the nature of the roots of the equation
Click here to see answer by glabow(165)

Question 8961: I am having trouble with FOIL, and was wondering if you could tell me how to get the answer to (9a-7)(9a + 7)
Thanks,
Kyle Pruden
Click here to see answer by longjonsilver(2297)

Question 9066: How do you compute the intercepts of a quadratic function?
Click here to see answer by longjonsilver(2297)

Question 9065: I really need help with these two questions, these math questions are frustrating me.

1) In case of a quadratic function, why are there two x-intercepts and one y-intercept?
2) What is the meaning of �axis� in regards to a quadratic function?

Click here to see answer by longjonsilver(2297)

Question 9210: The square of the largest of three consecutive integers is equal to the sum of the squares of the other two. Find the integers
Click here to see answer by khwang(438)

Question 9336: what are the intercepts in this problem
x^2 + x -2
Click here to see answer by rapaljer(4671)

Question 9360: A two-digit number is such that the product of its digits is 12.When 36 is added to this number, the digits interchange their places.Find the number.
Click here to see answer by longjonsilver(2297)

Question 9334: Solve each inequality. State the solution set using interval notation and graph the solition set.

4x^2 - 8x > or = 0

3x - x^2 > 0

Thanks in advance for your help.
Click here to see answer by mathmaven53(29)

Question 9225: I need help with this word problem. It deals with solving quadratic equations by finding square roots.
A baseball diamond is actually a square with sides of 90 feet. With Runners on 1st and 2nd, the third baseman fields a ball, runs to third base to get a force out and then throws the ball to first for a double play. Find the length of the third baseman's throw to the nearest foot.
Click here to see answer by DWL(56)

Question 9422: My question is on standard form. What is 6 x 0.1 + 5 x 0.001 + 7 x 0.0001 written in standard form. I don't get it.
Click here to see answer by DWL(56)

Question 9425: Find the vertex and intercepts for each quadratic function, and sketch its graph

y = x^2 + 4x

y = x^2 + 2x - 24

I have not clue what formula to use. HELP! Thanks in advance.
Click here to see answer by rapaljer(4671)

Question 9434: I need to solve these two word problems, where do I start

Bart can complete his science task twice as quickly as Carl can. When they work together, the task takes 3 hours. How long would it take Carl to do the work alone?

The ratio of women to men in a certain club is 3 to 2. If there are 24 male club members, then how many female club members are there?

Click here to see answer by rapaljer(4671)

Question 9449: Hello-
Thanks in advance for helping me with this problem. I found the answer, but through guess and check, so it would be very helpful if you could tell me how to find the answer mathematicaly.
Mark and David both own a lot of Matchbox cars. Mark owns seven times the square root of the amount David owns. Together they own the square root of 9 multiplyed be the quotient of 27,150 and 181. How many cars do they own in all? How many cars does each boy own? Who owns more?
This really stumped me, but I found an answer.
Mark owns 126 cars.
David owns 324 cars.
Together they own 450 cars.
David owns more.
Thanks again in advance and I can't wait to hear from you.
Sincerely,
Trevor Pierce
Click here to see answer by rapaljer(4671)

Question 9592: A flag is raised while an onlooker watches from a distance of 12 feet away from the base of the flag pole (see the figure below). The flag rises vertically at a rate of 7 inches per second. Let t denote the time (in seconds) after the flag begins to rise (For simplicity, assume that when the flag begins to rise it is 0 inches above the ground). Express the distance d (in feet) between the flag and the onlooker as a function of t. d (t) = ?
Click here to see answer by prince_abubu(198)

Question 9590: A right triangle has one vertex on the graph of y = 3 - x^2, x > 0, and (x, y), another at the origin, and the third on the positive x-axis at (x, 0). Express the area A of the triangle as a function of x.
Click here to see answer by prince_abubu(198)

Question 9737: My daughter says that her teacher did not explain how to convert unit multipliers.? I am not sure what she is asking. Can you help us please.
Thank you.
Click here to see answer by askmemath(368)

Question 9888: For which of the following expressions would the value be greater if 160 were replaced by 120. (There may be more than one correct answer.)
1) 1,000-160
2) (160)/(1+160)
3) (1)/(1-(1/160))

Click here to see answer by torielan(2)

Question 9769: Hello, I have thought about this one for a couple of days and don't even know where to begin. Any assistance would be greatly appreciated!

If the product of the integers w, x, y, and z is 770, and if 1 < w < x < y < z, what is w + z.
a) 10
b) 13
c) 16
d) 18
e) 21
Click here to see answer by askmemath(368)

Question 9884: Please help I can't figure this out!
A wire is cut into 3 equal parts. The resulting segments are then cut into 4, 6, and 8 equal parts, respectively. If each of the resulting segments has an integer lenght, what is the minimum lenght of the wire?
Click here to see answer by askmemath(368)

Question 9926: Why is a quadratic equation called a quadratic equation?
why is it so called?
Click here to see answer by Earlsdon(6294)

Question 10210: Here is the question:

If the length of a rectangular field is 8 feet more than double its width. Find the dimensions of the filed if its area is 540 square feet?

I know you have to use A = l * w, but how do you start. I started like this:
540 = (8 + x) ( x^2)
would it then be : 540 = 8x + x^2?
Then do you have to subtract 540 from the left side to bring it to the right?

8x + x^2 - 540 = 0

I'm lost. Please help. I appreciate all your help. Thank you.
Click here to see answer by Earlsdon(6294)

Question 10270: solve 3x�-4x-1

Click here to see answer by khwang(438)

Question 10269: 1)A farmer wishes to grow a 100 m^2 rectangular vegetable garden.Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his houseact as the fourth side-fence.Find the dimensions of his garden.
[Hint:If the length of one side is x metres, the other side will be (30-2x)m.Therefore,x(30-2x)=100]
Click here to see answer by rapaljer(4671)

Question 10202: CAN SOMEONE GET ME STARTED HERE? I NEED TO SOLVE BY THE QUADRATIC FORMULA
1/12 + 3/x = 2/x + 1
Click here to see answer by Earlsdon(6294)

Question 10335: Can anyone tell me if I did this correctly?

3/x + 2 + x/x^2-4

This is what I did. I took the x^2 - 4 and changed it to (x+2)(x-2) and then crossed out both (x + 2) which left me with this answer:

3x/x-2

Is this correct? Thanks for your help. I appreciate it.
Click here to see answer by rapaljer(4671)

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