Question

The value of the discriminant of the equation, 3x² = –11x – 10, is ______.

Options

• 1

• 0

• 4

• 9

Answer 1

The value of the discriminant of the equation, 3x² = –11x – 10, is 1.

Explanation:

Put the equation in standard form:

3x² + 11x + 10 = 0

For a quadratic ax² + bx + c = 0 the discriminant is D = b² – 4ac.

Here a = 3, b = 11, c = 10. 

So, D = 11² – 4 × 3 × 10 

= 121 – 120

= 1