SOLUTION: Solve using the square root property: (x + 6)2 = 4

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Question 147429: Solve using the square root property:
(x + 6)2 = 4

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation



Take the square root of both sides




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)



Subtract 6 from both sides to isolate x.


Break down the expression into two parts:




   or  

 


Now combine like terms for each expression:

   or      



-----------------------------------
Answer:
So our solution is

  or   

 


Notice when we graph the equations and we get:

graph of (red) and (green)



Here we can see that the two equations intersect at x values of and , so this verifies our answer.

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