Chapter 6: Q23. (page 298)

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
$x^{2} - 2 x - 1 = 0$

Short Answer

Expert verified

The solutions to the equation $x^{2} - 2 x - 1 = 0$ lie between-1and0, 2and 3.

Step by step solution

Step 1. Given Information.

Given to solve the equation $x^{2} - 2 x - 1 = 0$ 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 between -1 and 0 and then in between 2 and 3.

Hence the solutions to the equation $x^{2} - 2 x - 1 = 0$ lie between -1 and 0, 2 and 3.

Step 3. Conclusion.

Therefore, the solutions to the equation $x^{2} - 2 x - 1 = 0$ lie between -1 and 0, 2 and 3..

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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.
$x^{2} - 2 x - 1 = 0$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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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.x2-2x-1=0

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
$x^{2} - 2 x - 1 = 0$