Question

find equation whose roots are 1/a^2 and 1/b^2 given that a & b are roots of ax^2 +bx +c

Answer 1

roots mean that
\[x = \frac 1{a^2}\]
and
\[x = \frac 1{b^2}\]
that means your expression is
\[(x - \frac 1{a^2})(x - \frac 1{b^2})\]
expand to get your polynomial