if alpha and beta are roots of X2+6x+9=0 then find eqn whose roots are 1/alpha,1/beta6x+9=0​

1 thought on “if alpha and beta are roots of X2+6x+9=0 then find eqn whose roots are 1/alpha,1/beta6x+9=0​”

1. 9x 2

   +6x+1=0

   α,β are roots of equation

   x

   2

   +6x+9=0

   α+β=−6 & αβ=9

   So, if roots are

   αα1 ,

   β1x 2−( α1 + β1 )x+ αβ

   1=0

   x 2 −( α+β )x+ αβ

   1=0

   x2+ 9

   6 x+ 9

   1=0

   9×2+6x+1=0-

   Hope this helps you

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