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a*b=-10
a+b=-56, or a=-b-56
Substitute for a in the first equation with the second equation:
(-b-56)*b=-10
-b2-56b+10=0
b2+56b-10=0
Solve for b (quadratic equation):
b = (56 +- (562 + 40).5)/2 = .178, 56.178
Now solve for a=-b-56
(a,b) = (-56.178,.178),(-112.178,56.178)
The second (a,b) pair doesn't work when substituted into a*b=-10, so the only answer is (a,b) = (-56.178,.178).
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Earn +20 ptsQ: What multiplies to -10 but adds up to -56?
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