Find the number of ordered pairs $(a,b)$ of real numbers such that

$\bullet$ $a$ is a root of $x^2 + ax + b = 0,$ and

$\bullet$ $b$ is a root of $x^2 + ax + b = 0.$
Question:
Find the number of ordered pairs $(a,b)$ of real numbers such that

$\bullet$ $a$ is a root of $x^2 + ax + b = 0,$ and

$\bullet$ $b$ is a root of $x^2 + ax + b = 0.$
Answer:
Let's think step by step.

user
3
Find the number of ordered pairs $(a,b)$ of real numbers such that

$\bullet$ $a$ is a root of $x^2 + ax + b = 0,$ and

$\bullet$ $b$ is a root of $x^2 + ax + b = 0.$
train