Solve using the square root properly?

Question

(x + 6)^2 = 4

How would you solve this examplle

Answer 1

The square root property goes as follows:

Whenever you take the square root of both sides of an equation, you MUST include both positive and negative solutions.  This is done by adding the symbol "plus or minus".

(x + 6)^2 = 4

Take the square root of both sides.  Insert a "plus or minus" symbol after taking the square root of 4 (which is 2).

x + 6 = +/- 2

Now, isolate x.

x = -6 +/- 2

Which means

x = { -6 + 2 , -6 - 2 }

OR

x = { -4 , -8 }

Answer 2

sqr((x+6)^2)=sqr(4)

x+6=(+or-)2

x=(+ or-)2-6

x=-4  if +2

x=-8  if -2

proof:

(-4 + 6)^2 = 4

(-8+ 6)^2 = 4