SOLUTION: What two numbers multiply to -12 but add up to 1?

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Question 861913: What two numbers multiply to -12 but add up to 1?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Try pairs of factors of 12.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
xy=-12 and assuming y%3Ex, y%2Bx=1.
Two equations and two unknown variables.

y=1-x from the second equation.
x%281-x%29=-12 substituted into the first equation.
-x%5E2%2Bx%2B12=0
x%5E2-x-12=0
highlight_green%28highlight%28%28x%2B3%29%28x-4%29=0%29%29
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and you see what to do from that?