SOLUTION: Two numbers add to -12 and multiply to + 35

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Question 621122: Two numbers add to -12 and multiply to + 35
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I see two ways to the solution.
FACTORING:
If the numbers must be integers, the only solutions are included in the following products:
35=7%2A5 or 35=%28-7%29%2A%28-5%29 and
35=35%2A1 or 35=%28-35%29%2A%28-1%29
The only one of those product whose factors add up to -12 is the product of
highlight%28-7%29 and highlight%28-5%29 .
USING QUADRATIC EQUATION:
The two solutions to the equation x%5E2%2B12x%2B35=0 add up to -12 and multiply to + 35.
(The solutions to a quadratic equation add up to the opposite of the term in x, and their product is the independent term).
The quadratic formula says that the solutions are given by

resulting in
x=%28-12%2B2%29%2F2=-10%2F2=-5 and x=%28-12-2%29%2F2=-14%2F2=-7