Chapter 9.3, Problem 16PPS

To determine

To solve the given equation using graphing.

Answer to Problem 16PPS

The values of x are 2 and 8 .

Explanation of Solution

Given information :

The function provided is $x^2-10x=-16$ . This can be written as $x^2-10x+16=0$

Formula used :

The given equation would be graphed as a function and the points of x-intercepts would be the results. For these points, the x-coordinate shall serve the purpose of the results.

To cross check, put these values in the given equation to confirm that the left-hand side and right-hand side matches.

Calculation :

The graph of the given equation is

In this, the parabola x-intercepts at $\left(2,0\right)$ and $\left(8,0\right)$ .

Now, cross check by putting these values of x-coordinate in the given equation.

  $x^2-10x+16=0$

This is the given equation.

  $=>{\left(2\right)}^2-10\left(2\right)+16=0$

Putting $x=2$

  $=>4-20+16=0$

Simplifying this

  $=>0=0$

Now, put the other result.

  $=>{\left(8\right)}^2-10\left(8\right)+16=0$

Putting $x=8$

  $=>64-80+16=0$

Simplifying this

  $=>0=0$

Thus the test is a success and the result is 2 and 8 .