2 Answers

Reza Abolfathi · Answer 1 · 2019-01-13T23:42:58+0000

Answer:

y=-2.18,-0.22

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

$√((5y+6)^2)=\pm√(24)\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=(1)/(5)(-6\pm2\sqrt6)$

$y=(1)/(5)(-6+2\sqrt6),y=(1)/(5)(-6-2\sqrt6)$

In decimal we have

y=-2.18,-0.22

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