Question 78
Let $b$ and $c$ be real numbers such that the equation $x^{2} + b x + c = 0$ has two distinct real roots $x_{1}$ and $x_{2}$ with $x_{1} = x_{2}^{2} + x_{2}$.
a) Find $b$ and $c$ if $b + c = 4$.
б) Find $b$ and $c$ if they are coprime integers.
a) Find $b$ and $c$ if $b + c = 4$.
б) Find $b$ and $c$ if they are coprime integers.