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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

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.
  4. f(x)=-4x2

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

f(x)=-20x+5x2+9

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鈭�5b.f(x)=鈭�2x2+9c.f(x)=鈭�5x2鈭�8x+2d.f(x)=6x2鈭�5x

Simplify

4-3i-5-6i

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

-3x2-1=0
See all solutions

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