SOLUTION: Solve 14x=x^2+36 . Thanks!

Question 709122: Solve 14x=x^2+36 . Thanks!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Solve
14x=x^2+36
0=x^2-14x+36
since you can't factor, you can apply the quadratic formula to get:
x = {10.61, 3.39}
.
details of quadratic formula follows:

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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10.605551275464, 3.39444872453601. Here's your graph:

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