Quadratic Equation Solver
Solve ax² + bx + c = 0 and find the roots.
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ax² + bx + c = 0
Discriminant
Vertex
Axis of Symmetry
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Frequently Asked Questions
What is the quadratic formula?
x = (-b ± √(b²-4ac)) / 2a. It finds the roots (solutions) of any quadratic equation ax²+bx+c=0.
What does the discriminant tell me?
b²-4ac: positive = 2 real roots, zero = 1 repeated root, negative = 2 complex roots.
What is the vertex?
The highest or lowest point of the parabola. Located at x = -b/(2a). Minimum if a>0, maximum if a<0.
What are complex roots?
When the discriminant is negative, roots contain the imaginary unit i (√-1). The equation has no real solutions.
What is the axis of symmetry?
The vertical line x = -b/(2a) that divides the parabola into two mirror-image halves.