Quadratic Formula Calculator

ax² + bx + c = 0

Understanding the Quadratic Formula

The quadratic formula is used to solve quadratic equations in the form ax² + bx + c = 0. For any quadratic equation:

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the constant term

How to Use This Calculator

  1. Enter the coefficients a, b, and c from your quadratic equation
  2. Click "Solve" to get the solution
  3. The calculator will show:
    • The x-intercepts (solutions)
    • The discriminant (b² - 4ac)
    • The vertex point (highest or lowest point)
    • The axis of symmetry

Types of Solutions

  • Two real solutions: When discriminant > 0
  • One real solution: When discriminant = 0
  • Two complex solutions: When discriminant < 0
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