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Chapter 6: Q11. (page 297)

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

4x2-7x-15=0

Short Answer

Expert verified

One solution to the equation 4x2-7x-15=0 is x=3 and another solution lies between -2and-1.

Step by step solution

01

Step 1. Given Information.

Given to solve the equation 4x2-7x-15=0 by graphing. And if the exact roots cannot be found, the consecutive integers between which the roots are located are to be determined.

02

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 -2 and -1.

Hence one solution to the equation 4x2-7x-15=0is x=3 and another solution lies between -2 and -1.

03

Step 3. Conclusion.

Therefore, one solution to the equation 4x2-7x-15=0is x=3 and another solution lies between -2 and -1.

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Most popular questions from this chapter

Give an example of a quadratic function and state its related quadratic equation.

Use the related graph of each equation to determine its solutions.

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

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