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If p and q are the roots of the equation...

If p and q are the roots of the equation `lx^2 + nx + n = 0`, show that `sqrt(p/q) + sqrt(q/p)+ sqrt(n/l) = 0`.

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Knowledge Check

  • If p and q are the roots of the equation x^(2)+px+q=0 , then

    A
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    B
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    C
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    A
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    B
    `(p-q)/(q-r),1`
    C
    `(p-r)/(q-r),2`
    D
    `(q-r)/(p-q),2`

  • If the roots of the equation q^(2)x^(2) + p^(2)x + r^(2) = 0 are the squares of the roots of the equation qx^(2) + px + r = 0 , then q,p,r are in …….. . A.P G.P Both A.P and G.P none of these

    A
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    B
    G.P
    C
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    D
    None of these

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    If the roots of the equation q^2 x^2 + p^2 x + r^2 =0 are the squares of the roots of the equation qx^2 + px + r=0 , then p,q,r are in ………………….. .

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