Let $\alpha, \beta$ be the roots of $x^2+5 x+6=0$ and $\gamma, \delta$ be the roots of $y^2+6 y+7=0$. Then…
Let $\alpha, \beta$ be the roots of $x^2+5 x+6=0$ and $\gamma, \delta$ be the roots of $y^2+6 y+7=0$. Then the equation of the circle with $(\alpha, \gamma)$ and $(\beta, \delta)$ as the extremities of a diameter is