Algebraic Step-by-Step Solver
Solve quadratic formulas, systems of linear equations, simplify polynomial variables, or estimate calculus numerical limits.
Quadratic mode is tuned for ax² + bx + c equations and shows the discriminant before the roots.
Algebraic Solution Steps
Frequently Asked Questions
What is the discriminant in a quadratic equation?
The discriminant is the part of the quadratic formula under the square root: b² - 4ac. If positive, there are 2 real roots; if zero, 1 real root; if negative, 2 complex conjugate roots.
How does Cramer's Rule solve systems?
Cramer's Rule uses determinants of the coefficient matrices to solve linear systems. x = Dx/D and y = Dy/D. If the determinant D is zero, the system has either no solution or infinite solutions.
How are numerical limits calculated?
The calculator evaluates the algebraic expression at numbers extremely close to the target limit point (e.g. c ± 0.0001) to observe the convergence behavior numerically.