Mathematical Equations

Comprehensive collection of calculators for solving various mathematical equations

ax + b = 0 ax² + bx + c = 0 ax³ + bx² + cx + d = 0 Gaussian Elimination

Basic Equations

Solution of equations of the form ax + b = 0. The foundation of algebra with unique solutions.

Basic

Verification of the associative property in addition and multiplication. Fundamental algebraic law.

Basic

Solution using the quadratic formula. Calculation of roots, discriminant and parabola properties.

Intermediate

Cardano's formula for 3rd degree polynomials. Calculation of all three roots (real and complex).

Advanced

Analysis of the discriminant of quadratic equations. Determination of the number and type of solutions.

Intermediate

Systematic solution of linear equation systems through matrix transformations and back substitution.

Advanced

Linear (Degree 1):
ax + b = 0 → Unique solution

Quadratic (Degree 2):
ax² + bx + c = 0 → 0, 1 or 2 solutions

Cubic (Degree 3):
ax³ + bx² + cx + d = 0 → 1-3 solutions

Systematic transformation through addition, subtraction, multiplication and division to isolate the unknowns.

Direct application of established formulas like the quadratic formula (quadratic) or Cardano's formula (cubic).

Gaussian elimination and other matrix operations for complex equation systems.