This is a Test of Mathematics Solution Subjective 72 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta

## Problem

If are the roots of the equation , find the equation whose roots are , , .

## Solution

are roots of

= ,

=

=

Now,

+ +

=

= –

=

= – 2 + +

=

=

+ +

= – 3 + –

= –

So the equation whose roots are , , is