Given two second degree conic equations: $ax^2+by^2+cx+dy+e=0$ and $fx^2+gy^2+hx+iy+j=0$ [All coefficients are real]
To solve these equation for $x$ and $y$ a direct substitution yields a polynomial of fourth degree in $x$ (or $y$) as: $kx^4+lx^3+mx^2+nx+o=0$ Is there any easier way to evaluate the coefficients of fourth degree Polynomial $(k,l,m,n,o)$ in $x$ (or $y$) in terms of $a$, $b$, $c$, $d$, $e$, $f$, $g$, $h$, $i$, $j$.