Answer:
[tex]y=-2.18,-0.22[/tex]
Step-by-step explanation:
We have been given the equation
[tex](5y+6)^2=24[/tex]
Take square root both sides. When ever we take square root, we include plus minus sign
[tex]\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6[/tex]
Now, subtract 6 to both sides of the equation
[tex]5y=-6\pm2\sqrt6[/tex]
Divide both sides by 5
[tex]y=\frac{1}{5}(-6\pm2\sqrt6)[/tex]
[tex]y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)[/tex]
In decimal we have
[tex]y=-2.18,-0.22[/tex]
Answer:
The answer is A.)
Step-by-step explanation:
Correct on EDGE 2021
