Chapter 8.1, Problem 56STP

To determine

The solutions of the quadratic equation.

Answer to Problem 56STP

  $x=-2,10$

Explanation of Solution

Given:

The given equation is:

  $x^2-20=8x$

Calculation:

The value of x will be:

  $\begin{array}{l}{x}^2-20=8x\\ x^2-8x-20=0\\ x^2-10x+2x-20=0\\ x\left(x-10\right)+2\left(x-10\right)=0\\ x=-2,10\end{array}$