SOLUTION: Find the value of x. 4x^2-36x=-56

Question 638646: Find the value of x.
4x^2-36x=-56
Found 2 solutions by reviewermath, lwsshak3:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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: 7, 2. Here's your graph:

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the value of x.
4x^2-36x=-56
4x^2-36x+56=0
divide by 4
x^2-9x+14=0
factor
(x-7)(x-2)=0
x=7
or
x=2
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