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Chapter 6: Q9. (page 297)

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

x2+3x=28

Short Answer

Expert verified

The solutions to the equation x2+3x=28 are x=-7,4

Step by step solution

01

Step 1. Given Information.

Given to solve the equation x2+3x=28 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 at -7 and 4.

Hence the solutions to the equation x2+3x=28are x=-7,4.

03

Step 3. Conclusion.

Therefore, the solutions to the equation x2+3x=28 are x=-7,4

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Most popular questions from this chapter

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

4x2-8x=5

Complete parts a-c for each quadratic function.

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

f(x)=-2x2+8x-3

Simplify

i14

Complete parts a-c for each quadratic function.

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

f(x)=x2-4x+4

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

-x2+4x=0
See all solutions

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