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Q7.

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

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

$- x^{2} - 7 x = 0$

The solutions to the equation $- x^{2} - 7 x = 0$ are $x = - 7, 0$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

Given to solve the equation $- x^{2} - 7 x = 0$ 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 -7 and 0.

Hence the solutions to the equation $- x^{2} - 7 x = 0$ are $x = - 7, 0$ .

Step 3. Conclusion.

Therefore, the solutions to the equation $- x^{2} - 7 x = 0$ are x=-7,0

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.

$f (x) = x^{2} + 4$

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f (x) = \frac{3}{4} x^{2} - 5 x - 2$

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f (x) = - x^{2} - 9$

A tour bus in the historic district of Savannah, Georgia, serves 300 customers a day. The charge is $8 per person. The owner estimates that the company would lose 20 passengers a day for each $1 fare increase. What charge would give the most income for the company?

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f (x) = 4 x - x^{2} + 1$

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