SOLUTION: Please help me with the problems below, it would be gladly appreciated. Thank you! <3 Solve the equation using any method. Round to the nearest tenth, if necessary. 1.)

Question 1028736: Please help me with the problems below, it would be gladly appreciated. Thank you! <3

Solve the equation using any method. Round to the nearest tenth, if necessary.

1.) x^2-144=0

2.) x^2-6x=-8

3.) 2x^2-5x-13=0

4.) 9x^2+48x=36
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the equation using any method. Round to the nearest tenth, if necessary.

1.) x^2-144=0
x^2 = 144
x = � 12
---------------
2.) x^2-6x=-8
x^2 - 6x + 8 = 0
Find a pair of factors of 8 with a sum of -6
=====================
3.) 2x^2-5x-13=0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=129 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.08945417290014, -1.58945417290014. Here's your graph:

-----------------------------------------
4.) 9x^2+48x=36
Divide by 3
3x^2 + 16x - 12 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=400 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.666666666666667, -6. Here's your graph:

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