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Lela Bradtke
Wiki User
∙ 11y agoLet's call the numbers x and y.
x + y = 18 and xy = -16
We need to solve one of the equations for x or y. Here, we will solve the first one for x:
x = 18 - y
Plug that into the second equation for x:
(18-y)(y) = -16
18y - y2 = -16
y2 - 18y - 16 = 0
Using the quadratic formula:
y = (18 ± √(324-4(1)(-16))/2(1)
Simplifying gives us
y = 9- √(97) and y = 9+ √(97)
Those are the two numbers.
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