Question

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that have the following solution sets:

Two Solutions: x=2, x=14

Answer 1

• |x − 8| = 6

Explanation:

• |x − b| = c

• 1. x - b = c ⇒ x = b + c
• 2. x - b = -c ⇒ x = b - c

We have solution:

• b + c = 14
• b - c = 2

Add up these two equations:

• 2b = 16
• b = 8

Find c:

• c = 8 - 2 = 6

The original equation is:

• |x − 8| = 6