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Chapter 6: Q12. (page 297)

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

2x2-2x-3=0

Short Answer

Expert verified

The solutions to the equation 2x2-2x-3=0 lie between -1 and 0, 1 and 2.

Step by step solution

01

Step 1. Given Information.

Given to solve the equation 2x2-2x-3=0 by graphing. And if the exact roots cannot be found, the consecutive integers between which the roots are located are to be determined.

02

Step 2. Explanation.

A quadratic equation has a real solution where the graph of the related function crosses or touches the x-axis.

Graphing the given equation using graphing calculator:

From the given graph, the function crosses the x axis between -1 and 0 and then in between 1 and 2.

Hence the solutions to the equation 2x2-2x-3=0 lie between -1 and 0, 1 and 2.

03

Step 3. Conclusion.

Therefore, the solutions to the equation 2x2-2x-3=0 lie between -1 and 0, 1 and 2.

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Most popular questions from this chapter

An object is fired straight up from the top of a 200-foot tower at a velocity of 80 feet per second. The height h(t) of the object t seconds after firing is given by h(t)=-16t2+80t+200. Interpret the meaning of the y-intercept in the context of this problem.

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

x2-9x=-18

Which of the following tables represents a quadratic relationship between the two variables x and y?

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+10x

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

-12x+x2=-36
See all solutions

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