SOLUTION: Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.

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Question 1145791: Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.
Answer by Alan3354(69443) About Me  (Show Source):
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Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.
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x + y = 2
x*y = -24
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x + y = 2 ---> y = 2-x
Sub for y in the 2nd eqn
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x*(2-x) = -24
x*(x-2) = 24
x^2 - 2x - 24 = 0
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Here, find 2 factors of -24 that differ by 2
---> -6 & 4 : Obviously the "answer" -- no quadratic is needed.
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(x-6)*(x+4) = 0
---> 6 and -4