Answer:
y = [tex]\frac{2\sqrt{6} }{5} -\frac{6}{5}[/tex] OR y = [tex]\frac{-2\sqrt{6} }{5} -\frac{6}{5}[/tex]
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 = [tex]\frac{2\sqrt{6} }{5} -\frac{6}{5}[/tex] OR y = [tex]\frac{-2\sqrt{6} }{5} -\frac{6}{5}[/tex]
And, those are the solutions to the equation.
