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Chapter 8: Q. 350 (page 825)

(a) Solve the equation r+4-r+2=0

(b) Explain why one of the solution that was found

was not actually a solution to the equation.

Short Answer

Expert verified

The value ofr=5.

Step by step solution

01

Step 1. Given information

r+4-r+2=0

02

Part (a) Step 1. Solution of the equation

r+4-r+2=0r+4=r-2

Squaring Both sides

role="math" localid="1644912390355" r+4=r-22r+4=r2-4r+4r2-4r+4-r-4=0r2-5r=0rr-5=0

03

Part (a) Step 2. Solve by zero property

r=0,r-5r=0,r=5

04

Part (b) Step 1. One solution was not found solution

0 is not a solution of the equation because it turns

0+4-0+2=02+2=04=0

which is not possible.

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