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Let the numbers be a,b : Then ab = -30 and b = -30/a : Substituting in a + b = 7 gives :-
a + (-30/a) = 7 : a - 30/a = 7 : multiplying all terms by a :-
a2 - 30 = 7a : a2 - 7a - 30 = 0
Solving for the roots of a quadratic equation.
a = {7 ± √(72 - [4 x -30])} ÷ 2 = 3.5 ± 6.5
Then a = 10 (3.5 + 6.5) and b = -3 (3.5 - 6.5)
37 and 37
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