Question

What is the solution of the equation (4x + 3)² = 18?

Answer 1

third option

Explanation:

(4x + 3)² = 18 ( take square root of both sides )

4x + 3 = ±
`√(18)` = ±
`√(9(2))` = ± (
`√(9)` ×
`√(2)` ) = ± 3
`√(2)` ( subtract 3 from both sides )

4x = - 3 ± 3
`√(2)` ( divide both sides by 4 )

x =
`(-3+3√(2) )/(4)` , x =
`(-3-3√(2) )/(4)`