Question 96
Suppose $u, v$ are distinct roots of the cubic polynomial
$$
p(z) = z^3 - 5z^2 + 6z - 1.
$$
Prove that $u, v$, and $u/v$ are positive irrational real numbers.
$$
p(z) = z^3 - 5z^2 + 6z - 1.
$$
Prove that $u, v$, and $u/v$ are positive irrational real numbers.