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Chapter 6: Q20. (page 298)

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

x2-3x=0

Short Answer

Expert verified

The solutions to the equation x2-3x=0 are x=0,3.

Step by step solution

01

Step 1. Given Information.

Given to solve the equation x2-3x=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 0 and 3.

Hence the solutions to the equation x2-3x=0are x=0,3.

03

Step 3. Conclusion.

Therefore, the solutions to the equation x2-3x=0 are x=0,3

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