can you help me solve this exercise? Thanks.
Eliminate $x, y, z$ from the given equations $$ \left\{ \begin{array}{ll} bx^2 +lx + c &= 0\\ cy^2 + my + a &= 0\\ az^2 + nz + b &= 0\\ xyz &= 1 \end{array}\right.$$
I tried to multiply first three equations hoping to that there’s some factoring trick I could use. Besides that I don’t know what to do.
Hint
Use the quadratic formula.