What multiplies to 360 and adds to 2?

Answer 1

362

Answer 2

We are told:

x + y = 2

∴ y = 2 - x

We are also told:

x * y = 360

∴ x * (2 - x) =360

∴ -x2 + 2x = 360

∴ x2 - 2x = -360

∴ x2 - 2x + 1 = -359

∴ (x - 1)2 = -359

∴ x - 1 = ± √(-359)

∴ x = 1 ± i√359