Quadratic Equation Solver
Solve ax² + bx + c = 0 with full mathematical steps
Standard Quadratic Form:
1x² - 5x + 6 = 0
Equation Roots
Two Real Roots
x₁ = 3, x₂ = 2
Discriminant Δ = 1
Step-by-Step Solution:
Frequently Asked Questions
The quadratic formula is:
x = (-b ± √(b² - 4ac)) / (2a) used to find the solutions (roots) of any quadratic equation in standard form ax² + bx + c = 0.
If Δ > 0, there are two distinct real roots. If Δ = 0, there is one repeated real root. If Δ < 0, there are two complex (imaginary) conjugate roots.
The x-coordinate of the vertex is given by
x = -b / (2a), and the y-coordinate is obtained by substituting that x value back into the original quadratic equation y = a(x)² + b(x) + c.