Let $a$ and $b$ be real numbers.  One of the roots of
\[x^3 + ax^2 - x + b = 0\]is $1 - 2i.$  Enter the ordered pair $(a,b).$
Question:
Let $a$ and $b$ be real numbers.  One of the roots of
\[x^3 + ax^2 - x + b = 0\]is $1 - 2i.$  Enter the ordered pair $(a,b).$
Answer:
Let's think step by step.

user
(1,15)
Let $a$ and $b$ be real numbers.  One of the roots of
\[x^3 + ax^2 - x + b = 0\]is $1 - 2i.$  Enter the ordered pair $(a,b).$
train