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

Question 201981: Find the sum of the x solutions for x^2-x=12. thank-you.
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.

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
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