Question

Find the sum of the roots for the equation $\frac{2}{3}{x}^2-3x+6=0$.

• A. $\frac{2}{9}$
• B. $\frac{9}{2}$
• C. $\frac{2}{6}$
• D. $\frac{7}{2}$

Answer 1

The correct option is B $\frac{9}{2}$

The general form of complete quadratic equation is $a{x}^2+bx+c=0$
Where, sum of the roots $=$ $\frac{-b}{a}$
Here, the given equation is $\frac{2}{3}{x}^2-3x+6=0$
So, the value of $b=-3,a=$ $\frac{2}{3}$
Sum of the roots $=$ $\frac{-(-3)}{\frac{2}{3}}$
$=$ $\frac{9}{2}$