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Let the numbers be a and b. then :-
ab = -16 therefore b = -16/a
a + b = 20 : substituting for b in this equation gives :-
a - 16/a = 20 : a2 - 16 = 20a : a2 - 20a - 16 = 0
Solving for a quadratic equation produces a = 10 ± 10.77 (2dp)
The two numbers are therefore 10 + 10.77 = 20.77 and 10 - 10.77 = -0.77
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