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If the difference of the roots of the equation `2x^(2)-(a+1)x+a-1=0` is equal to their product then prove that a=2

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Knowledge Check

  • The product of the roots of the equation x|x|-5x-6=0 is equal to

    A
    `36`
    B
    `-36`
    C
    `-18`
    D
    `6`

  • Product of real roots of the equation x^(2)+|x|+9=0

    A
    is always positive
    B
    is always negative
    C
    does not exist
    D
    None of these

  • If the difference between the roots of the equation x^(2)+ax+1=0 is less then sqrt(5) , then the set of possible values of a is

    A
    `(3,oo)`
    B
    `(-oo,-3)`
    C
    `(-3,3)`
    D
    `(-3,oo)`

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    If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0 , is -1.Find its product.

    If alpha is one root of the equation 4x^(2)+2x-1=0 , then the other root is

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