Q31. - Algebra 2

Question

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

 

$2x^2=x+15$

Step-by-Step Solution

Answer

One solution to the equation $2x^2=x+15$ is x=3 and another solution lies between -3 and -2.

Step 1. Given Information.

Given to solve the equation$2x^2=x+15$ by graphing. And if the exact roots cannot be found, the consecutive integers between which the roots are located are to be determined.

Step 2. Explanation .

A quadratic equation has a real solution where the graph of the related function crosses or touches the x-axis.

Graphing the given equation using graphing calculator:

From the given graph, the function crosses the x axis at 3 and in between -3 and -2.

Hence one solution to the equation $2x^2=x+15$ is x=3 and another solution lies between -3 and -2.

Step 3. Conclusion .

Therefore, one solution to the equation $2x^2=x+15$ is x=3 and another solution lies between -3 and -2.