So yesterday, on math class, I solved a difficult task (a quadratic polynomial).
I solved it correctly, but at one point teacher asked me something I couldn't explain.
The task says: "The biggest value of the quadratic polynomial is 3/2
and one of its zeros is √3 - 1.
Determine the polynomial if it's coefficients are rational numbers."
The first zero was √3 - 1, and I knew the other one had to be -√3 - 1.
(I know it had to be its conjugate).
Teacher said that these are NOT complex numbers - so i can't conjugate anything.
Your teacher is wrong!