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
