Chapter 4.2, Problem 4CYU

To determine

To solve: the given equation. If exact roots cannot be find, state the consecutive integers between which the roots are located.

Answer to Problem 4CYU

  $x=0,x=-8$ .

Explanation of Solution

Given:

The given equation is $x^2+8x=0$ .

Calculation:

The given equation is $x^2+8x=0$ .

Now, solve the given equation by factor method. Therefore,

  $\begin{array}{l}{x}^2+8x=0\left\{\text{given function}\right\}\\ x\left(x+8\right)=0\{\text{factor} }\end{array}$

Therefore, either $x=0$ or $\left(x+8\right)=0$

When $\left(x+8\right)=0$ , then $x=-8$ .

Thus, the zeros of the function are $x=0,x=-8$ .

Hence, the solution of the given equation is $x=0,x=-8$ .