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

Question

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

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Margaret 2 months 2021-07-27T13:52:10+00:00 1 Answers 0 views 0

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    2021-07-27T13:54:06+00:00

    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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