Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 7474: How to solve this quadratic equation by completing the square

x^2 + 6X - 7 = 0
Click here to see answer by longjonsilver(2297)

Question 7481: please help me...
-282 - (+ 1,017)=
thank you!
Click here to see answer by bonster(299)

Question 7479: inequality problem: please help..
9h + 2< - 79
Click here to see answer by prabhjyot(164)

Question 7482: equation problem: please help...
y + 5 = 0
9
(y over 9 + 5= 0)
Click here to see answer by prabhjyot(164)

Question 7476: Inequality problem: Please help...
3p - 6> 21.
Click here to see answer by prabhjyot(164)

Question 7495: Determine the vertex of y=x^2-8x+22.
Click here to see answer by ichudov(499)

Question 7496: An object is projected upward from the top of a tower. Its distance
in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground
level?
Click here to see answer by ichudov(499)

Question 7500: Please help me with this problem
Simplify this expression: 13 + (-12) - (-5) =
Thank You
Click here to see answer by arunpaul(104)

Question 7501: please help me solve this inequality
j - 8 < 4
-
4

( j over 4 -8 < 4)
Click here to see answer by CharStar(110)

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(499)

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 7782: A rectangular playground is being constructed using a barn as one side and 80 meters of fencing to form the other three sides. What is the maximum area of such an enclosure?
Click here to see answer by prince_abubu(198)

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 8109: 12x squared + 5x-2=0
Click here to see answer by srinivas123(23)

Question 8228:
Click here to see answer by Earlsdon(6294)

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 8450: 8x+13x-4=0
Click here to see answer by drglass(89)

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(4667)

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(4667)

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(4667)

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 9067: How do you solve these two word problems, I need some HELP!

1. 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?
2. 3. 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 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(4667)

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 9381: how you say solution of a quadratic funtion is a parabola
Click here to see answer by rapaljer(4667)

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)

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