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    Three equations are given below. Solve the equations and answer the question given below. A: x² + x – 6 = 0 B: y² + y -12 = 0 C: 2z² - 3z –
    Question

    Three equations are given below. Solve the equations and answer the question given below.
    A: x² + x – 6 = 0
    B: y² + y -12 = 0
    C: 2z² - 3z – 5 = 0

    Find the relation between I, II and II. (Consider only positive roots of equations A, B and C.)

    A.

    I < II < III

    B.

    I > II > III

    C.

    I < II > III

    D.

    I < II ≥ III

    E.

    I = II > III

    Correct option is C


    A: x² + x – 6 = 0
    x² + 3x - 2x – 6 = 0
    x = -3, 2
    x = 2
    B: y² + y -12 = 0
    y² + 4y – 3y -12 = 0
    y = -4, 3
    y =3
    C: 2z² - 3z – 5 = 0
    2z² - 5z + 2z – 5 = 0
    z = 2.5, -1
    z = 2.5

    III: 12Z
    12(2.5) = 30
    So, I < II > III

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