SOLUTION: solve the equation 52x-4x^2=60

Question 280327: solve the equation 52x-4x^2=60
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
solve the equation 52x-4x^2=60
.
Reordering:
0 = 4x^2 - 52x + 60
Dividing both sides by 4:
0 = x^2 - 13x + 15
Since we can't factor we must resort to the quadratic equation.
Doing so yields:
x = {11.72, 1.28}
.
Details of quadratic:

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=109 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 11.7201532544553, 1.27984674554472. Here's your graph:

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