Let $m \in {\mathbb R}$ and $$x^2+(m-4)x+(m^2-3m+3)=0$$equations roots are $x_1$ and $x_2$ and $x_1^2+x_2^2=6$. Find all $m$ values.
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Tags: number theory, Discriminant
Let $m \in {\mathbb R}$ and $$x^2+(m-4)x+(m^2-3m+3)=0$$equations roots are $x_1$ and $x_2$ and $x_1^2+x_2^2=6$. Find all $m$ values.