Question

Sum of roots of the quadratic equation $5-3x^2+7x=0$ will be:

• A. $\frac{3}{5}$
• B. $\frac{7}{3}$
• C. $-\frac{3}{5}$
• D. $-\frac{7}{5}$

Answer 1

The correct option is B $\frac{7}{3}$

Given quadratic equation is $5-3x^2+7x=0$

We can rewrite it as $-3x^2+7x+5=0$.

We know that, for a quadratic equation of the form $a{x}^2+bx+c$

Sum of roots $=\frac{-\text{Coefficient of}x}{\text{Coefficient of}{x}^2}=\frac{-b}{a}$

For the given quadratic equation, we have $b=7,a=-3$

Hence, sum of roots $=\frac{-7}{-3}$

$=\frac{7}{3}$.

Hence, sum of roots of quadratic equation $5-3x^2+7x=0$ is $\frac{7}{3}$.