Question

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

Answer 1

Answer:

$y=-2.18,-0.22$

Step-by-step explanation:

We have been given the equation

$(5y+6)^2=24$

Take square root both sides. When ever we take square root, we include plus minus sign

$\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=\frac{1}{5}(-6\pm2\sqrt6)$

$y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)$

In decimal we have

$y=-2.18,-0.22$