Chapter 9.3, Problem 1CYU

To determine

To solve the given equation using graphing.

Answer to Problem 1CYU

The values of x are -5 and 2 .

Explanation of Solution

Given information :

The function provided is $f\left(x\right)=x^2+3x-10$ .

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-intercepts at $\left(-5,0\right)$ and $\left(2,0\right)$ .

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

  $x^2+3x-10=0$

This is the given equation.

  $=>{\left(-5\right)}^2+3\left(-5\right)-10=0$

Putting $x=-5$

  $=>25-15-10=0$

Simplifying this

  $=>0=0$

Now, put the other result.

  $=>{\left(2\right)}^2+3\left(2\right)-10=0$

Putting $x=2$

  $=>4+6-10=0$

Simplifying this

  $=>0=0$

Thus the test is a success and the result is -5 and 2 .