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Chapter 10: Q24. (page 629)

Solve each equation. Check your solution.

a−2=6

Short Answer

Expert verified

The solution of the given equation is a=38.

Check:

Substitute 38 for a in the given equation a−2=6.

a−2=638−2?¯¯636?¯¯66=6

Therefore,a=38is the solution of the given equation a−2=6.

Step by step solution

01

Step 1. Rewrite the given equation.

The given equation can be written as:

a−2=6a−22=62squaringbothsidesa−2=36

02

Step 2. Solve the given equation.

The solution of the given equation is:

a−2=36a=36+2a=38

Therefore, the solution of the given equation is a=38.

03

Step 3. Check the solution.

Substitute 38 for in the given equation a−2=6.

a−2=638−2?¯¯636?¯¯66=6

Therefore,a=38 is the solution of the given equation a−2=6.

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