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If the cubic equation 3x^3 +px +5=0...

If the cubic equation `3x^3 +px +5=0` has exactly one real root then show that ` p gt 0`

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Knowledge Check

  • If the equation x^(2) + 5x + K = 0 has real and distinct roots, then….

    A
    `K = 6`
    B
    `K lt 6.25`
    C
    `K gt 6`
    D
    `K gt 25`

  • IF the equation x^2-x-p=0 and x^2 + 2px -12 =0 have a common root then that root is

    A
    1
    B
    p+2
    C
    2
    D
    can not be determined

  • IF the equation x^2+5x+K=0 has no real and distinct roots, then………

    A
    `K=6`
    B
    `K lt 6.25`
    C
    `K gt 6`
    D
    `K gt 25`

    • Similar Questions

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    If the equation x^5 -3x^4 -5x^3 +27 x^2 - 32 x +12=0 has repeated roots , then the prime number that divides the non repeated root of this equation is

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