Question

Find the discriminant of the quadratic equation $3x^2-5x+2=0$ and hence, find the nature of the roots.

• A. $0$, two equal roots
• B. $-1$, no real roots
• C. $-1$, two distinct real roots
• D. $1$, two distinct real roots

Answer 1

The correct option is D

$1$, two distinct real roots

$D=b^2-4ac=(-5{)}^2-4\times 3\times 2=1>0$
$\therefore D=1>0$ $\Rightarrow$ Two distinct real roots.