Question

How do you use square roots to solve 2(x+3)2=8?

Answer 1

hey mate......

2(x+3)2=8

4(x+3)=8

4x+12=8

4x=8-12

4x=-4

x=-4/4

x=-1

Answer 2

Our first step would be to divide both sides by 2. We get:

(x+3)2=4

We can take the ± square root of both sides, and we will now have two equations:

The first:

x+3=2

⇒x=−1

The second:

x+3=−2

⇒x=−5

We have two equations because we need to take the ± square root of both sides, because when you take the sqrt of a number, there will always be a positive and a negative answer.

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