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Chapter 1: Q. 28 (page 29)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x2-7x-18=0

Short Answer

Expert verified

The required solution isx=-2,9 and the graph is shown below:

Step by step solution

01

Step 1. Given information.  

We have:

x2-7x-18=0

02

Step 2. Solve the equation algebraically.    

The equation is x2-7x-18=0.

For a quadratic equation of the form ax2+bx+c=0the solutions are:

For a=1,鈥�b=-7,鈥�c=-18

x1,鈥�2=--7卤-72-4路鈥�1路-182路鈥�1x1,鈥�2=--7卤鈥�112路鈥�1x=-2,9

03

Step 3. Verify the solution using a graphing utility.    

The solution of the equation isx=-2,9.

Draw the graph of the equation x2-7x-18=0using the graphing utility:

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Most popular questions from this chapter

If three distinct points P, Q, and R all lie on a line and if d(P,Q)=d(Q,R), then Q is called the _________ of the line segment from P to R.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-2,3);(2,1)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

2x+2+3x-1=-85

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,b);P2=(0,0)

The figure shows the graph of two parallel lines. Which of the following pairs of equations might have such a graph?

(a)x-2y=3x+2y=7(b)x+y=2x+y=-1(c)x-y=-2x-y=1(d)x-y=-22x-2y=-4(e)x+2y=2x+2y=-1
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