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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 3x2−13x+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 3x2−13x+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:
​α⋅β=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 3x2−13x+6=0:3x^2−13x+6=0:​​
a = 3, c = 6
Substitute the values into the formula:
​α⋅β=63=2α⋅β = \frac{6}{3} =2​​
Thus, The product of the roots of the equation 3x2−13x+6=03x^2−13x+6=0​ is 2.

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