Chapter 9.3, Problem 46PFA

To determine

To solve the given equation using graphing.

Answer to Problem 46PFA

The value of x is 6 .

Explanation of Solution

Given information :

The function provided is $x^2-12x=-36$ , or it can be written as $x^2-12x+36=0$ .

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 has x-intercept at $\left(6,0\right)$ .

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

  $x^2-12x+36=0$

This is the given equation.

  $=>{\left(6\right)}^2-12\left(6\right)+36=0$

Putting $x=6$

  $=>36-72+36=0$

Simplifying this

  $=>0=0$

Thus the test is a success and the result is 6 . Since the parabola has only one x-intercept, there would only one answer for x .