SOLUTION: I need exact solutions for x^2+12x+36=64 I know 2 is one solution, is there another one?

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Question 146762: I need exact solutions for x^2+12x+36=64
I know 2 is one solution, is there another one?

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

Start with the given equation.


Get all terms to the left side.


Combine like terms.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So our answers are or


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