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Chapter 2: Q19. (page 94)

Solve each equation. Check your solution.

n鈭�27=2

Short Answer

Expert verified

The solution of the given equation is n=16.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�n鈭�27=2鈥�.

02

Step 2. Solve the given equation.

Solving,

n鈭�27=2 (Given equation)

n鈭�27脳7=2脳7 (Multiply both sides by 7)

n鈭�2=14 (Simplify)

n鈭�2+2=14+2 (Add 2 to both sides)

n=16 (Simplify)

So, n=16is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=16in the given equation n鈭�27=2to get,

16鈭�27=2147=22=2

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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