SOLUTION: Please, help me solved this quadratic equation: x²+12x+36=9

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Question 908430: Please, help me solved this quadratic equation: x²+12x+36=9
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Please, help me solved this quadratic equation: x²+12x+36=9
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Subtract 9 from each side.

I would factor it.
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Always get sero (0) on the right side.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x²+12x+27=0
Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=1, b=12, and c=27




Square 12 to get 144




Multiply to get




Combine like terms in the radicand (everything under the square root)




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




Multiply 2 and 1 to get 2


So now the expression breaks down into two parts


or


Lets look at the first part:





Add the terms in the numerator

Divide


So one answer is






Now lets look at the second part:





Subtract the terms in the numerator

Divide


So another answer is




So our solutions are:

or


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