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Find the quadratic equation having roots...

Find the quadratic equation having roots `2/3` and 5.

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Find the quadratic equation whose roots are 3 and (1)/(3)

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Knowledge Check

  • If the roots of a quadratic equation ax^(2)+ bx +c = 0 are alpha and beta then the quadratic equation having roots alpha^(2) and beta^(2) is :

    A
    `x^(2) -(b^(2) - 2ac) x + c = 0`
    B
    `a^(2) x^(2) - (b^(2) - 2ac) x + c = 0`
    C
    `ax^(2) - (b^(2) -2ac) x + c^(2) = 0`
    D
    `a^(2) x^(2) - (b^(2) - 2ac) x + c^(2) =0`

  • Find the quadratic equation whose root are 5 and -5.

    A
    `x^(2) + 5 = 0`
    B
    `x^(2) - 5 = 0`
    C
    `x^(2)-25 = 0`
    D
    `x + 5 = 0`

  • If a^2=5a-3 and b^2=5b-3,(a neb) find the quadratic equation whose roots are a/b and b/a

    A
    `3x^2-19x+1=0`
    B
    `2x^2=39x+27=0`
    C
    `3x^2-19x+3=0`
    D
    `3x^2+19x+3=0`

    • Similar Questions

    Explore conceptually related problems

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    Find the quadratic equation in x whose roots are (-7)/(2) and (8)/(3) .

    Write the quadratic equation whose roots are 5/2 and 8/3 .

    If alpha+beta=5 and alpha^(3) +beta^(3)=35 , find the quadratic equation whose roots are alpha and beta .

    Find the quadratic equation whose roots are sqrt3 and 2sqrt3 :

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