How do you find the nature of the roots using the discriminant given  2x^2 - 7x + 3 = 0?

Apr 16, 2018

$\textcolor{g r e e n}{\text{Both the roots are real.}}$

Explanation:

$2 {x}^{2} - 7 x + 3 = 0$

Let's find the result of ${b}^{2} - 4 a c$ to know the nature of the roots.

${b}^{2} - 4 a c = 49 - 24 = 25 , \text{ is positive}$

$\textcolor{g r e e n}{\text{Hence both the roots are real.}}$