SOLUTION: What two numbers add up to -5 but multiply to give you 3? thank you for your time

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Question 643759: What two numbers add up to -5 but multiply to give you 3?
thank you for your time
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be A and B.
1.A%2BB=-5
2.A%2AB=3
From eq. 2, assuming B doesn't equal zero,
A=3%2FB
Then substitute into eq. 1,
3%2FB%2BB=-5
3%2BB%5E2=-5B
B%5E2%2B5B%2B3=0
Use the quadratic formula,
B=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
B=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A3+%29%29%2F%282%2A1%29+
B=+%28-5+%2B-+sqrt%28+25-12+%29%29%2F%282%29+
B=+%28-5+%2B-+sqrt%28+13+%29%29%2F%282%29+
or approximately,
B=-.697 or B=-4.30
Then from above,
A=3%2FB
A=-4.30 or A=-0.697
Make sure to verify the answer using the two equations.