Question

The number of real roots of the equation x² + 3x + 2 = 0 is ______.

Answer 1

The number of real roots of the equation x² + 3x + 2 = 0 is 2.

Explanation:

Factorise x² + 3x + 2 = (x + 1)(x + 2) = 0, so x = –1 or x = –2 (two real roots). 

Alternatively, the discriminant D = b² – 4ac = 9 – 8 = 1 > 0, so there are two distinct real roots.