Quadratic Formula

• x₁, x₂ = (–b ± √ (b² – 4ac)) / 2a

• Use the Quadratic formula when it's difficult to factor equation

Discriminant

• The discriminant is the equation, b² – 4ac (this is taken from the formula under the square root in the quadratic formula)

• If b² – 4ac > 0, there are 2 real solutions.

• If b² – 4ac = 0, there is 1 real solution.

• If b² – 4ac < 0, there are no real solutions.