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    The product of the roots of 3x2−13x+6=0 3x^2-13x+6=03x2−13x+6=0​ is: 
    Question

    The product of the roots of 3x213x+6=0 3x^2-13x+6=0​ is: 

    A.

    3

    B.

    4

    C.

    2

    D.

    5

    Correct option is C

    Given:
    The quadratic equation is 3x213x+6=03x^2−13x+6=0​​
    Concept Used:
    For a quadratic equation of the form ax2+bx+c=0,ax^2+bx+c=0,​ the product of the roots α and β is given by:
    αβ=caα⋅β = \frac{c}{a}​​
    where a is the coefficient of x2x^2​ and c is the constant term.
    Solution:
    Identify a and c from the equation 3x213x+6=0:3x^2−13x+6=0:​​
    a = 3, c = 6
    Substitute the values into the formula:
    αβ=63=2α⋅β = \frac{6}{3} =2​​
    Thus, The product of the roots of the equation 3x213x+6=03x^2−13x+6=0​ is 2.

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