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Chapter 6: Q15. (page 297)

Use the related graph of each equation to determine its solutions. x2-6x+9=0

Short Answer

Expert verified

The solution to the equation x2-6x+9=0is x=3.

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+9=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 3.

Hence the solution to the equation x2-6x+9=0 is x=3.

03

Step 3. Conclusion.

Therefore, the solution to the equation x2-6x+9=0 is x=3.

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Most popular questions from this chapter

Write an expression for the minimum value of a function of the form y=ax2+c, where a>0. Explain your reasoning. Then use this function to find the minimum value of y=8.6x2-12.5

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?

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

x2-9x=-18

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)=3x2+6x-1
See all solutions

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