Question

What are the solutions to the quadratic equation (5y + 6)2 = 24?

y =
-6+2/6
5
and y =
-6-2/6
5
y =
-6+2V6 and y = 6-216
y= -4/6 and y = -876
AVO
5
y =
and y =
8/6
5

Answer 1

see explanation

Explanation:

Given

(5y + 6)² = 24 ( take the square root of both sides )

5y + 6 = ±
`√(24)` = ± 2
`√(6)` ( subtract 6 from both sides )

5y = - 6 ± 2
`√(6)` ( divide both sides by 5 )

y =
`(-6+2√(6) )/(5)` and y =
`(-6-2√(6) )/(5)`