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Chapter 7: Q. 240 (page 695)

Solve a Rational Equation for a Specific Variable.

In the following exercises, solve.

m=n2-nforn.

Short Answer

Expert verified

The solution isn=2mm+1.

Step by step solution

01

Step 1. Given 

The given rational equation ism=n2-n.

02

Step 2. To find 

We have to solve the given rational equation forn.

03

Step 3. Calculation  

Cross multiply and then solve the equation forn.

m=n2-nm2-n=n2m-mn=n2m=mn+n2m=m+1n2mm+1=m+1nm+12mm+1=nn=2mm+1

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