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If alpha!= beta but alpha^2 = 5alpha-3, ...

If `alpha!= beta` but `alpha^2 = 5alpha-3, beta^2 = 5beta - 3`, then find the equation whose roots are `alpha/beta and beta/alpha`.

A

`3x^(2) - 25 x + 3 = 0`

B

`x^(2) - 5x + 3 = 0`

C

`x^(2) + 5x - 3 =0`

D

`3x^(2) - 19x + 3 = 0`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If alpha ne beta" but "alpha^(2) =5alpha-3, beta^(2) =5 beta-3 , then the equation whose roots are alpha//beta and beta//alpha is

    A
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    B
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    D
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    A
    ` 3 x^(2) - 19 x +3=0`
    B
    `3x^(2) + 19x -3 =0`
    C
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    D
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    A
    `x^(2) - 4x + 2 = 0`
    B
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    C
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