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Chapter 6: Q14. (page 297)

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

x2-6x=0

Short Answer

Expert verified

The solutions to the equation x2-6x=0are x=0,6.

Step by step solution

01

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: x2-6x=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 crosses the x axis at 0 and 6.

Hence the solutions to the equation x2-6x=0 are x=0,6.

03

Step 3. Conclusion.

Therefore, the solutions to the equationx2-6x=0are x=0,6.

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Most popular questions from this chapter

Steve has 120 feet of fence to make a rectangular kennel for his dogs. He will use his house as one side. What dimensions produce a kennel with the greatest area?

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)=2x2-4x+1

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

Find the coordinates of the maximum or minimum value of each quadratic equation to the nearest hundredth.

fx=-4x2+5x

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
See all solutions

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