Quadratic Equation Solver

    Quadratic equations have the form ax2 + bx + c = 0

    They will generally have two solutions; that is, two different values of x that make the equation true.

    It can happen that both solutions are the same number, and it is possible that the solutions will be complex or imaginary numbers.

    To use this utility, you type in values for a, b, and c in the boxes below, and press the Solve button.
    You may enter positive, negative, or zero values, but the value of a cannot be zero.
    A blank or non-numeric character is treated as a zero.

    The Plot button will open a new window that will allow you to plot quadratic functions.

    Input

    a b c
      x2 +     x +     = 0
      
           

    Solutions

    x1 =
    x2 =

     

    Other Information

    Discriminant =
    Parabola opens
    Vertex:

    Factoring (real factors only)

    The quadratic trinomial ax2 + bx + c factors into: