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Q7.

Expert-verified
Found in: Page 297

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.$-{x}^{2}-7x=0$

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

See the step by step solution

Step 1. Given Information.

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

Step 3. Conclusion.

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