SOLUTION: solve the following equation for x (x+4)^2=81

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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 4 from both sides to isolate x.


Break down the expression into two parts:

   or  

 

Now combine like terms for each expression:

   or      

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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.