Do the solutions of x^2 - 10ix - 29 = 0 which are (5i - 2) and (5i + 2) satisfy the conjugate root theorem?

Question

So for a Math assignment I have been posed with the question why do the two solutions above satisfy the conjugate root theorem? can any one please help because I can't come up with a proper explanation.

Answer 1

The hypothesis of The conjugate root theorem states that "If a polynomial has real coefficients"

This polynomial does not have real coefficients. Therefore if the hypothesis is not true, the theorem cannot apply.

Patti D.