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    Algebra
    Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
    • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
    • Teacher Resources
    On FaceBook!

    The Quadratic Formula

    Solve quadratic equations

    Use The Quadratic Formula Calculator to see Quadratic Formula in Action! Calculator will solve any quadratic equation you type in (even if roots are imaginary)

    Related: Solving Quadratic Equations| Solve Quadratic Equations By Factoring | The Quadratic Formula | Discriminant| factoring quadratic equations|completing the square in math|Completing Square Calculator| Quadratic Formula Calculator | formula for sum and product of roots | Quadratic Inequalities |images
    The quadratic formula will calculate the solutions of any quadratic equation.
    A quadratic equation is an equation that can be written as
      ax ² + bx + c where a ≠ 0
    In other words, a quadratic equation must have a squared term as its highest power
      Examples of quadratic equations
    • y = 5x² + 2x + 5
    • y = 11x² + 22
    • y = x² − 4x +5
    • y = −x² + 5
      Examples of equations that are not quadratic
    • y = 11x + 22
    • y = x3 − 4x² +5x +5
    • y = 2x3 − 4x²
    • y = −x4 + 5

    The solution of a quadratic equation is the value of x when you set the equation equal to zero
    i.e. When you solve the following general equation: 0 = ax² + bx + c
    Given a quadratic equation: ax ² + bx + c
      The quadratic formula below will solve the equation for zero
    The quadratic formula is : Picture of the quadratic formula
    Examples of the quadratic formula to solve an equation
    • Example 1
        Quadratic Equation: y = x² + 2x + 1
      • a = 1
      • b = 2
      • c = 1
        • Using the quadratic formula to solve this equation just substitute a,b, and c into the general formula:
        example of quadratic formula
        Below is a picture representing the graph of
        y = x² + 2x + 1 and its solution
      Picture of graph of solved quadratic formula
    Use the quadratic formula to find the solutions to the following equation:
    y = x² − 2x + 1 and its solution
    Answer
    Use the quadratic formula to find the solutions to the following equation:
    y = x² − x − 2 and its solution
    Solution(s)
    Use the quadratic formula to find the solutions to the following equation:
    y = x² − 1 and its solution
    Answer
    Calculate the solutions of the the quadratic equation below by using the quadratic formula :
    y = x² + 2x − 3 and its solution
    Answer
    Use the quadratic formula to find the solutions to the following equation:
    y = x² + 4x − 5 and its solution
    Solution(s)
    Use the quadratic formula to find the solutions to the following equation:
    y = x² − 4x + 5 and its solution
    Solution(s)
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