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Chapter 6: Q18. (page 297)

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

2x2-5x-3=0

Short Answer

Expert verified

The solutions to the equation 2x2-5x-3=0are x=-0.5,3

Step by step solution

01

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: 2x2-5x-3=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 -0.5 and 3.

Hence the solutions to the equation 2x2-5x-3=0are x=-0.5,3.

03

Step 3. Conclusion.

Therefore, the solutions to the equation 2x2-5x-3=0are localid="1648705512786" x=-0.5,3.

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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.

f(x)=3x2+6x-1

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

f(x)=2x+2x2+5

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

fx=3x2-7x+2

NUMBER THEORY Use a quadratic equation to find two real numbers whose sum is 5 and whose product is -14, or show that no such numbers exist.

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
See all solutions

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