Question

Sum and product of the roots of the quadratic equation ${2x}^2-3x+4=0$ are :

• A. $-\frac{7}{2},2$
• B. $\frac{7}{2},\frac{3}{2}$
• C. $\frac{5}{2},\frac{3}{2}$
• D. $\frac{3}{2},2$

Answer 1

Answer: (D)

$\frac{3}{2},2$

The given quadratic equation is

$2x^2-3x+4=0$

Then $a=2,b=-3$ and $c=4$

Let $\alpha$ and $\beta$ be the roots of the equation.

$\therefore \alpha +\beta =\frac{-b}{a}=\frac{-(-3)}{2}=\frac{3}{2}$

$\alpha \beta =\frac{c}{a}=\frac{\left(4\right)}{2}=\frac{4}{2}=2$