SOLUTION: What numbers can I multiply to get 24 and add to get -5

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Question 1159232: What numbers can I multiply to get 24 and add to get -5
Found 3 solutions by Amily_2190, josgarithmetic, MathTherapy:
Answer by Amily_2190(27) About Me  (Show Source):
You can put this solution on YOUR website!
There are no possible answers.

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
system%28xy=24%2Cx%2By=-5%29

y=-x-5
Substitute:
x%28-x-5%29=24
x%28x%2B5%29=-24
x%5E2%2B5x%2B24=0
discriminant: 25-4%2A24%3C0

highlight%28NO_SOLUTIONS%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

What numbers can I multiply to get 24 and add to get -5
Only 2 SETS OF FACTORS will satisfy a product of 24. These are: matrix%281%2C7%2C+%22%2B+8%22%2C+and%2C+%22%2B+3%22%2C+%22or%2C%22%2C+-+8%2C+and%2C+-+3%29

However, NEITHER of the above 2 sets satisfies a SUM of - 5.

Therefore, NO such 2 numbers EXIST!!