SOLUTION: Find the sum of the x solutions for x^2-x=12. thank-you.

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Question 201981: Find the sum of the x solutions for x^2-x=12. thank-you.
Answer by jim_thompson5910(13679) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given equation.


Get all terms to the left side.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Negate to get .


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 the solutions are or

Simply add the solutions to get


So the sum of the solutions is