Question

Solve (v+7)^2 - 12 =0, where v is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click "no solution."

Answer 1

v = - 7 ± 2
`√(3)`

Explanation:

(v + 7)² - 12 = 0 ( add 12 to both sides )

(v + 7)² = 12 ( take square root of both sides )

v + 7 = ±
`√(12)` = ± 2
`√(3)` ( subtract 7 from both sides )

v = - 7 ± 2
`√(3)`

solutions are v = - 7 - 2
`√(3)` , - 7 + 2
`√(3)`