SOLUTION: what are the solutions of 4x^2-16x=16x-39

Question 437282: what are the solutions of
4x^2-16x=16x-39
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
4x^2-16x=16x-39
4x^2-32x=-39
4x^2-32x+39 = 0
solve using the quadratic formula to get:
x = {6.5, 1.5}
.
Details of quadratic 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=400 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.5, 1.5. Here's your graph:

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