Equation with roots reciprocals of original roots for JEE

Formula

\(cx^2+bx+a=0\)

Variables: \(\alpha,\beta\) are roots of \(ax^2+bx+c=0\); new roots are \(1/\alpha,1/\beta\)

Conditions: \(c\neq 0,\ \alpha\beta\neq 0\)

Forming equation with reciprocal roots.