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Let the two numbers be represented by a and b.

Then, ab = 112 so b = 112/a.

And, a + b = -32......substituting for b this becomes :-

a + 112/a = -32........multiplying throughout by a

a2 + 112 = -32a.......re-arranging

a2 + 32a + 112 = 0

This equation factors (a + 4)(a + 28) = 0

When (a + 4) = 0 then a = -4......and thus b = -28

When (a + 28) = 0 then a = -28....and thus b = -4

The two numbers are -4 and -28.

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Q: What 2 number multiply to equal 112 and also add to negative 32?
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