1. The Formula
x = [-b ± sqrt(b² - 4ac)] / 2a
2. The Discriminant
The part inside the root (b² - 4ac) tells the future.
• Positive: 2 Real Answers.
• Zero: 1 Real Answer.
• Negative: Imaginary Numbers.
3. Example
x² - 5x + 6 = 0
a=1, b=-5, c=6.
sqrt(25 - 24) = 1.
x = (5 ± 1) / 2.
x = 3, x = 2.
