Explanation

The roots of a quadratic equation are the solutions for x.

Methods to find roots:

• Factoring: set each factor to zero

• Quadratic formula:
  x = (−b ± √(b² − 4ac)) / 2a

• Completing the square

Types of roots:

• Two distinct real roots (b² − 4ac > 0)

• One real root (b² − 4ac = 0)

• Two complex roots (b² − 4ac < 0)