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Algebra Computation Solver
Examples
Equations & Inequalities
- Quadratic: x² + 2x - 3 = 0
- System: 2x + 3y = 6, 3x - y = 2
- Cubic: x³ - 6x² + 11x - 6 = 0
- Quartic: x⁴ - 5x² + 4 = 0
- Complex: x² + (1+2i)x + 5 = 0
- Logarithmic: log(x) = 2
- Natural Log: ln(x) = 3
- Exponential: e^x = 5
- Exponential: 2^x = 8
- Inequality: 2x - 3 > 5
- Not Equal: x ≠ 3
- System: x + y = 10, 2x - y = 5
- Nonlinear System: x² + y² = 25, x - y = 1
Expressions
- Expand: (x+2)² - x²
- Factor: x³ + 3x² + 3x + 1
- Simplify: (sin²(x) + cos²(x)) * tan(x)
- Expand: (a+b)³
- Simplify: sin(2x) / (2·cos(x))
Matrix Operations
- Matrix: [[1,2],[3,4]]
- Determinant: det([[1,2],[3,4]])
Series Expansions
- Sin(x) Series
- e^x Series
- 1/(1-x) Series
LaTeX Input
- LaTeX: \frac{x^2 + 1}{x - 2}
- LaTeX: \int x^2 dx
- Matrix Multiplication
- Matrix Power: [[1,2,3],[4,5,6],[7,8,9]]²
- Eigenvalues: [[4,1,1],[1,3,1],[1,1,3]]
- Matrix Decomposition
- Solve Linear System: Ax=b
- Matrix Rank
- Cholesky Decomposition
Result
SolveInput:
Result:
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Learning Resources
Features
What's New!
We've significantly enhanced our algebra engine with powerful new capabilities:
- New! AI Assistant - Get help with math problems using natural language
- Advanced exponential equation solving
- Improved logarithmic equation capabilities
- Enhanced series expansions with better accuracy
- Upgraded polynomial solver with visualization
- Matrix operations with step-by-step solutions
- Direct LaTeX expression parsing and calculation
AI Assistant
Get intelligent help with your math problems using our new AI Assistant. Ask questions in natural language and receive guided explanations and solutions.
Equation Solving
Solve linear, quadratic, cubic, and high-degree polynomial equations with step-by-step solutions. Enhanced with exponential and logarithmic equation solvers!
Expression Manipulation
Factor, expand, and simplify algebraic expressions with detailed explanations and interactive step-by-step solutions.
Matrix Operations
Perform operations on matrices including determinants, inverses, eigenvalues, and advanced decompositions with comprehensive analysis.
Visualization
Visualize polynomial roots and functions with interactive graphing. See the real and complex roots of high-degree polynomials.
Exponential & Logarithmic
Solve equations with exponential and logarithmic functions like e^x, 2^x, ln(x), and log(x) with detailed step-by-step solutions.
Systems of Equations
Solve linear and nonlinear systems of equations using advanced matrix methods, elimination, and numerical techniques with detailed step-by-step explanations.
Educational Tool
Learn mathematics through detailed step-by-step solutions and interactive explanations that guide you through complex algebraic concepts.
LaTeX Parsing
Process complex mathematical expressions written in LaTeX notation with our advanced parser. Supports integrals, fractions, and more!
Advanced Capabilities
Advanced Exponential
Solve complex exponential equations like e^x = 5 or 2^(x+1) = 8 using specialized algorithms.
Series Expansions
Generate Taylor & Maclaurin series for complex functions with detailed explanations.
Symbolic Calculus
Derivatives, integrals, and limits with step-by-step solutions.