Question

The difference between the product of the roots and the sum of the roots of the quadratic equation $6x^2-12x+19=0$ is

• A. $\frac{7}{6}$
• B. $\frac{31}{6}$
• C. $\frac{7}{12}$
• D. $\frac{31}{12}$
• E. $-\frac{7}{6}$

Answer 1

The correct option is A $\frac{7}{6}$

Given equation is $6x^2-12x+19=0$

The product of the root $=$ $\frac{c}{a}=\frac{19}{6}$

The Sum of the root is $=$ $\frac{-b}{a}=\frac{12}{6}$

Difference $=$ $\frac{19}{6}-\frac{12}{6}=\frac{7}{6}$