Question

Solve (v + 2)² − 24 = 0 where v is a real number.

Answer 1

v = - 2 ± 2
`√(6)`

Explanation:

(v + 2)² - 24 = 0 ( add 24 to both sides )

(v + 2)²= 24 ( take square root of both sides )

v + 2 = ±
`√(24)` = ±
`√(4(6))` = ± (
`√(4)` ×
`√(6)` ) = ± 2
`√(6)` ( subtract 2 from both sides )

v = - 2 ± 2
`√(6)`