Question

Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. w = [ ] or w = [ ]

Answer 1

4+√55= 11.42

4-√55= -3.42

Explanation:

• w² − 8w − 39 = 0
• w²- 2*4w + 16- 55=0
• (w-4)²=55
• w-4=√55 ⇒ w= 4+√55= 11.42
• w-4=- √55 ⇒ w= 4-√55= -3.42