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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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