Chapter 6, Problem 2QC

To determine

The roots of given equation using the related graph.If exact roots cannot be found, state the consecutive integers between which the roots are located.

Answer to Problem 2QC

  $-2\text{ and }\frac{3}{2}$

Explanation of Solution

Given Information:

Given equation is :

  $2x^2+x-6=0$

Concept Used :

The roots of an equation are the x -coordinates of the points at which the related graph of the equation intersects the x -axis .

Calculation:

The graph of the given equation is :

  

Clearly , the graph intersects the x -axis at the points (-2,0) and (1.5,0).

So, the roots of the equation are -2 and 1.5 or $-2\text{ and }\frac{3}{2}$