The solutions of the equation a x2+b x+c=0, where a, b and c are constants with a≠0, are given by the quadratic formula:
x=−b±b2−4 a c2 a.
The quadratic formula can be derived by the method of completing the square:
a x2+b x+c
a⋅x2+bax+b2 a2+c−a⋅b2 a2
a⋅x+b2 a2+c−b24 a
−b2 a±b24 a2−ca
−b±b2−4 a c2 a.
Click to place the vertex of a parabola and drag the graph to stretch the parabola. The equation, the graph, the roots, and the quadratic formula for the roots will be displayed below.
Download Help Document
What kind of issue would you like to report? (Optional)
Thank you for submitting feedback on this help document. Your feedback will be used
to improve Maple's help in the future.