Quadratic Formula Calculator
Enter the coefficients a, b and c of ax² + bx + c = 0 to find its solutions, including complex roots when the discriminant is negative.
Type a number and the answer appears straight away.
Your answer
1x² + -3x + 2 = 0x = 2 or x = 1
- Discriminant (b² - 4ac)
- 1
- Roots
- Two real roots
- Vertex
- (1.5, -0.25)
The math behind it: Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a
The discriminant b² - 4ac tells you what to expect: positive means two real solutions, zero means one, and negative means two complex solutions.
You might also need
Checked and updated: