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Chapter 2: Q16. (page 94)

Solve each equation. Check your solution.

f鈭�7鈭�8=2

Short Answer

Expert verified

The solution of the given equation is f=鈭�70.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�f鈭�7鈭�8=2鈥�.

02

Step 2. Solve the given equation.

Solving,

f鈭�7鈭�8=2 (Given equation)

f鈭�7鈭�8+8=2+8 (Add 8 to both sides)

f鈭�7=10 (Simplify)

f鈭�7脳鈭�7=10脳鈭�7 (Multiply both sides by -7)

f=鈭�70 (Simplify)

So, f=鈭�70is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put f=鈭�70in the given equation f鈭�7鈭�8=2to get,

鈭�70鈭�7鈭�8=210鈭�8=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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