Quadratic Formula Calculator

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Enter coefficients for ax² + bx + c = 0

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Understanding Quadratic Equations

Basic Form

  • ax² + bx + c = 0
  • a ≠ 0
  • x is the variable
  • a, b, c are constants

Quadratic Formula

  • x = (-b ± √(b² - 4ac)) / (2a)
  • discriminant = b² - 4ac
  • If d 0: two real solutions
  • If d = 0: one real solution
  • If d 0: two complex solutions

Examples

  • x² + 2x + 1 = 0 (one solution)
  • x² - 4 = 0 (two real solutions)
  • x² + 1 = 0 (complex solutions)
  • 2x² - 3x - 5 = 0 (real solutions)