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

Answer:

see explanation

Step-by-step explanation:

Given

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

5y + 6 = ± $\sqrt{24}$ = ± 2$\sqrt{6}$ ( subtract 6 from both sides )

5y = - 6 ± 2$\sqrt{6}$ ( divide both sides by 5 )

y = $\frac{-6+2\sqrt{6} }{5}$ and y = $\frac{-6-2\sqrt{6} }{5}$