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    Solve a Quadratic Equation

    Methods to find solutions



    Methods to Solve Quadratic Equations

    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 = 2x² + 3x + 5
    • y = 13x² + 22
    • y = x² − 4x +5
    • y = −x² + 5
      Examples of equations that are not quadratic
    • y = 11x + 22
    • y = x3 − 4x² +5x +6
    • y = 2x3 − 7x²
    • 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

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