Question

What times what equals 12 but when you add those numbers together it equals positive 2

Answer 1

Hello from MrBillDoesMath!

Answer:

1 - i sqrt(11) , 1 + i sqrt(11)

Discussion:

Translating the Question into mathematical symbols:

x * y = 12 (*)

x + y = 2 (**)

From (**), y = 2 - x. Substitute this value in (*)

x * y = x * (2-x) = 12 =>

2x - x^2 = 12 => add x^2, subtract 2x from both sides

0 = x^2 -2x + 12

Solving using the quadratic formula gives

x = 1 - i sqrt(11)

and

y = 1 + i sqrt(11)

Thank you,

MrB