Writing the general form of the discriminant of the equation ax2 + by + c = 0 explain the nature of the roots.

Question

Philoid · Accepted Answer

The generalized formula for the quadratic equation is as follows:

ax² + bx + c = 0

The discriminant of the equation can be found out using the following formula:

⟹ b² – 4ac

If b² – 4ac > 0, then the roots will be real and distinct.

If b² – 4ac = 0, then the roots will be real and equal.

If b² – 4ac < 0, then the roots will be imaginary.

Writing the general form of the discriminant of the equation ax² + by + c = 0 explain the nature of the roots.