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.

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

are roots of

= ,

=

=

Now,

+ +

=

= –

=

= – 2 + +

=

=

+ +

= – 3 + –

= –

So the equation whose roots are , , is