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Chapter 6: Q22. (page 298)

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

x2+4x-4=0

Short Answer

Expert verified

The solutions to the equation x2+4x-4=0 lie between-5and-4, 0and1.

Step by step solution

01

Step 1. Given Information.

Given to solve the equation x2+4x-4=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 between -5 and -4 and then in between 0 and 1.

Hence the solutions to the equation x2+4x-4=0 lie between -5 and -4, 0 and 1.

03

Step 3. Conclusion.

Therefore, the solutions to the equation x2+4x-4=0 lie between -5 and -4, 0 and 1.

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Most popular questions from this chapter

State whether the graph of each quadratic function opens up or down. Then state whether the function has a maximum or minimum value.

a.f(x)=3x2+4x−5b.f(x)=−2x2+9c.f(x)=−5x2−8x+2d.f(x)=6x2−5x

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

2x2-3x=9

Solve each equation

x+53+6=4

Complete parts a-c for each quadratic function.

a. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.

b. Make a table of values that includes the vertex.

c. Use this information to graph the function.

f(x)=0.5x2-1

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

f(x)=4x-x2+1
See all solutions

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