If the orthocentre of the triangle, whose vertices are (1,2),(2,3) and (3,1) is (α, β), then the quadratic equation whose roots are α+4 β and 4 α+β,…

If the orthocentre of the triangle, whose vertices are $\displaystyle (1,2),(2,3)$ and $\displaystyle (3,1)$ is $\displaystyle (\alpha, \beta)$, then the quadratic equation whose roots are $\displaystyle \alpha+4 \beta$ and $\displaystyle 4 \alpha+\beta$, is