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Chapter 2: Q20. (page 94)

Solve each equation. Check your solution.

14=6+z鈭�2

Short Answer

Expert verified

The solution of the given equation is z=鈭�34.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�14=6+z鈭�2鈥�.

02

Step 2. Solve the given equation.

Solving,

14=6+z鈭�2 (Given equation)

14脳鈭�2=6+z鈭�2脳鈭�2 (Multiply both sides by -2)

鈭�28=6+z (Simplify)

鈭�28鈭�6=6+z鈭�6 (Subtract 6 from both sides)

鈭�34=z (Simplify)

z=鈭�34 (Write the variable on the left-hand side)

So, z=鈭�34is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put z=鈭�34in the given equation 14=6+z鈭�2to get,

14=6鈭�34鈭�214=鈭�28鈭�214=14

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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