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Chapter 2: Q. 344 (page 264)

In the following exercise, solve each equation with fraction coefficients.

4n+84=n3

Short Answer

Expert verified

Thesolutionforthegivenequationnisn=鈭�3

Step by step solution

01

Step 1. Given information

The given equation4n+84=n3

We have to solve the given equation.

02

Step 2. Explanation

Solve:4n+84=n3MuliplybytheLCD12鈬�12脳(4n+84)=12脳(n3)鈬�3脳(4n+8)=4n(Simplify)鈬�12n+24=4n(Distribute)鈬�12n-4n+24=4n-4n(Subtract4nfrombothsides)鈬�8n+24=0(Simplify)鈬�8n+24鈭�24=0鈭�24(Subtract24formboththesides)鈬�8n=鈭�24(Simplify)鈬�8n8=鈭�248(Dividebothsideby8)鈬�n=鈭�3(Simplify)Thesolutionforthegivenequationnisn=鈭�3

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