Free online quadratic equation solver with step-by-step solutions, graphs, and detailed explanations. Solve quadratic equations, linear equations, and polynomials instantly.
Complete Quadratic Equation Calculator
Our comprehensive quadratic equation solver is designed to help students, teachers, and math enthusiasts solve quadratic equations ax² + bx + c = 0 with complete step-by-step solutions. This advanced calculator uses the quadratic formula to find real and complex roots, provides discriminant analysis, and displays interactive graphs for better visualization.
Whether you are solving homework problems, preparing for exams, or exploring mathematical concepts, our free quadratic equation calculator offers accurate solutions with detailed mathematical explanations. Perfect for understanding concepts like the discriminant (Δ = b² - 4ac), vertex form, and the relationship between coefficients and roots.
Popular Quadratic Equations to Solve:
• x² - 5x + 6 = 0 (Roots: x = 2, x = 3)
• x² + 4x + 4 = 0 (Perfect square, root: x = -2)
• 2x² - 8x + 6 = 0 (Roots: x = 1, x = 3)
• x² - 9 = 0 (Difference of squares, roots: x = ±3)
Instant Solutions
Get accurate solutions to quadratic equations in seconds using the quadratic formula method
Interactive Graphs
Visualize parabolas and understand the relationship between coefficients and graph shape
Step-by-Step Learning
Learn the quadratic formula and discriminant analysis with detailed mathematical explanations