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Chapter 6: Q4. (page 297)

Use the related graph of each equation to determine its solutions x2+3x-4=0.

Short Answer

Expert verified

The solutions to the equation x2+3x-4=0arex=-4,1.

Step by step solution

01

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: x2+3x-4=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 1 and -4.

Hence the solutions to the equation x2+3x-4=0are x=-4,1.

03

Step 3. Conclusion.

Therefore, the solutions to the equation x2+3x-4=0are x=-4,1.

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Most popular questions from this chapter

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

f(x)=3x2

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

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