Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

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

And, those are the solutions to the equation.

Answer 2

Answer:

(2sqrt(6) - 6)/5, (-2sqrt(6) - 6)/5

Step-by-step explanation:

(5y + 6)² = 24

5y + 6 = +/- sqrt(24)

5y = +/- 2sqrt(6) - 6

y = (+/- 2sqrt(6) - 6)/5