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Chapter 2: Q. 346 (page 264)

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

u3−4=u2−3

Short Answer

Expert verified

Thesolutionforthegivenequationisu=−6

Step by step solution

01

Step 1. Given information

The given equation isu3−4=u2−3

We have to solve the given equation.

02

Step 2. Explanation

Solve:u3−4=u2−3MultiplybytheLCD,6⇒6×(u3−4)=6×(u2−3)⇒6×u3−6×4=6×u2−6×3(Distribute)⇒2u−24=3u−18(Simplify)⇒2u−3u−24=3u−3u−18(Subtract3uformboththesides)⇒−u−24=−18(Simplify)⇒−u−24+18=−18+18(Add24tobothsides)⇒−u−6=0(Simplify)⇒−u−6+6=0+6(Add6toboththesides)⇒−u=6(Simplify)⇒−u−1=6−1(Dividebothsideby-1)⇒u=−6(Simplify)Thesolutionforthegivenequationisu=−6

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