Question

The discriminant of the quadratic equation $3x^2-4x-2=0$ is ____.

• A. 40
• B. 20
• C. 24
• D. 48

Answer 1

The correct option is A 40

Standard form of a quadratic equation is $a{x}^2+bx+c=0.$

By comapring the equation $3x^2-4x-2=0$ with standard form, we get, $a=3,b=-4,c=-2$

$\because$ Discriminat (D) = $b^2-4ac$
$\Rightarrow D=(-4{)}^2-4(3\left)\right(-2)=16+24=40$

$\therefore$ Discrimiant of the equation $3x^2-4x-2=0$ is 40.