# Algebra

Two numbers whose sum is 30 and product is 8800? How do I find that?

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1. Two numbers whose sum is 30 and product is 8800.

This problem cannot be solved in the real domain. It has a solution, however, in complex numbers.

Let x and y be the numbers.
(x+y)=30 => y=30-x
xy=8800 => x(30-x)=8800 =>
x²-30x+8800=0
x=(30±√((-30)²-35200))/2
=15±5√7³ i

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