SOLUTION: What is the maximum product of two numbers that add to -12? What numbers yield this product? I came up with 36; -6 and -6 but I am not sure if that is correct

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What is the maximum product of two numbers that add to -12? What numbers yield this product? I came up with 36; -6 and -6 but I am not sure if that is correct      Log On


   

Question 191815: What is the maximum product of two numbers that add to -12? What numbers yield this product?
I came up with 36; -6 and -6 but I am not sure if that is correct
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the maximum product of two numbers that add to -12? What numbers yield this product?
I came up with 36; -6 and -6 but I am not sure if that is correct
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It is correct.
Call one number x. The other one is -12-x
x*(-12-x) = 36
x^2 + 12x + 36 = 0
(x+6)*(x+6) = 0
x = -6