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Chapter 8: Q. 332 (page 982)

In the following exercises, solve

a9+a+33a=1a

Short Answer

Expert verified

The solution isa=0,-3.

Step by step solution

01

Step 1. Given Information

The given rational expression isa9+a+33a=1a

02

Step 2. Remove the fraction

The least common denominator is 9a

Multiply the equation by LCD

9a{a9+a+33a}=1a×9aa×a+3(a+3)=9a2+3a+9=9a2+3a=0a(a+3)=0

03

Step 3. Solution of the equation

Using the Zero Product Property,

The solution of the equation is

a=0;a+3=0a=0;a=-3

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