Chapter SH, Problem 4.3EP

To determine

Find the solution of the given equation using graph.

Answer to Problem 4.3EP

The solutions of the given equation are $x=-3\text{and}x=2$ .

Explanation of Solution

Given:

The given equation is $x^2+x-6=0$ and the graph is given below.

  

Calculation:

  $x^2+x-6=0$

The solution of a quadratic equation are called the roots of the equation. One method for finding the roots of a quadratic is to find the zeros of the related quadratic function.

The zeros of the function are the x-intercepts of the graph. The x-intercepts are the point(s) at which the parabola intersects the x-axis.

In the given graph

  

The x-intercepts are $-3$ and $2$ .

Hence the solutions of the given equation are $x=-3\text{and}x=2$ .