-112
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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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