Quadratic Equation Solver
Solve ax² + bx + c = 0
Enter Coefficients
1x² + 0x + 0 = 0
3
x₁ (First Root)
2
x₂ (Second Root)
Discriminant = 1 (Two Real Roots)
Vertex:( 2.5, -0.25 )
Axis:x = 2.5
Quadratic Formula
The Formula
x = (-b ± √(b² – 4ac)) / 2a. This formula gives the solutions (roots) of any quadratic equation ax² + bx + c = 0.
Discriminant (b² – 4ac)
If positive: two distinct real roots. If zero: one repeated real root. If negative: two complex conjugate roots.
Vertex Form
The vertex of the parabola is at x = -b/2a. The y-coordinate is found by substituting this x value back into the equation.