Chapter 4.4, Problem 8MCQ

To determine

To find: The solution of the given equation.

Answer to Problem 8MCQ

The zero of the function are $-7,1$ .

Explanation of Solution

Given:

The given equation is $x^2+6x-7$ .

The graph for the equation $f\left(x\right)=x^2+6x-7$ is shown in Figure 1

  

Figure 1

Calculation:

Consider the given function is,

  $f\left(x\right)=x^2+6x-7$

From the graph the solution of the equation is $-7$ .

  $\begin{array}{c}f\left(-7\right)={\left(-7\right)}^2+6\left(-7\right)-7\\ =0\end{array}$

From the graph the solution of the equation is $1$ .

  $\begin{array}{c}f\left(1\right)={\left(1\right)}^2+6\left(1\right)-7\\ =0\end{array}$

Thus, the zero of the function are $-7,1$ .