Question

The discriminant of the equation, `3x^2 - 2x + 1/3 = 0` is ______.

Options

• 0

• 1

• 2

• 4

Answer 1

The discriminant of the equation, `3x^2 - 2x + 1/3 = 0` is 0.

Explanation:

For ax² + bx + c = 0 the discriminant is D = b² – 4ac (definition). 

Here a = 3, b = –2, c = `1/3`.

So, `D = (-2)^2 - 4 xx 3 xx (1/3)`

= 4 – 4

= 0 

Since D = 0, the quadratic has equal (repeated) real roots.