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Chapter 6: Q17. (page 297)

Use the related graph of each equation to determine its solutions.

-0.5x2=0

Short Answer

Expert verified

The solution to the equation -0.5x2=0 is x=0.

Step by step solution

01

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: -0.5x2=0

02

Step 2. Explanation.

A quadratic equation has a real solution where the graph of the related function crosses or touches the x-axis.

From the given graph, the function touches the x axis at 0.

Hence the solution to the equation -0.5x2=0is x=0.

03

Step 3. Conclusion.

Therefore, the solution to the equation -0.5x2=0 is x=0.

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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.

x2+3x=28

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)=2x2-4

Complete parts a-c for each quadratic function.

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  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

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

Complete parts a-c for each quadratic function.

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  3. Use this information to graph the function.

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