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Q14.

Expert-verified

Algebra 2

Found in: Page 297

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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

$x^{2} - 6 x = 0$

The solutions to the equation $x^{2} - 6 x = 0$ are $x = 0, 6$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $x^{2} - 6 x = 0$

Step 2. Explanation.

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

From the given graph, the function crosses the x axis at 0 and 6.

Hence the solutions to the equation $x^{2} - 6 x = 0$ are $x = 0, 6$ .

Step 3. Conclusion.

Therefore, the solutions to the equation $x^{2} - 6 x = 0$ are $x = 0, 6$ .

Most popular questions for Math Textbooks

Complete parts a-c for each quadratic function.

Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
Make a table of values that includes the vertex.
Use this information to graph the function.

$f (x) = 2 x^{2}$

Complete parts a-c for each quadratic function.

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Use this information to graph the function.

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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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The graph of which of the following equations is symmetrical about the y-axis?

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