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Chapter 1: Q. 26 (page 29)

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

x+2x-3=x-32

Short Answer

Expert verified

The required solution is x=3and the graph of the solution is given below:

Step by step solution

01

Step 1. Given information.

We have:

x+2x-3=x-32

02

Step 2. Solve the equation algebraically.  

The solution of the equation is x+2x-3=x-32.

Expand:

x2-x-6=x2-6x+9

Add 6to both sides:

x2-x-6+6=x2-6x+9+6x2-x=x2-6x+15

Subtract x2-6xfrom both sides:

x2-x-x2-6x=x2-6x+15-x2-6x5x=155x5=155x=3

03

Step 3. Verify the solution using a graphing utility.  

The solution of the equation is x=3.

Draw the graph of the equation x+2x-3=x-32using the graphing utility:

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Most popular questions from this chapter

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(4,-3);P2=(6,1)

The equation 2x-y=Cdefines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when C=-4,C=0and C=2. Can you draw a conclusion from the graph about each member of the family?

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-5,-3);P2=(11,9)

True or False

In using a graphing utility to solve an

equation, exact solutions are always obtained.

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

(4,2);(3,4)
See all solutions

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