Algebra Solver Calculator
Solve equations, factor polynomials, and simplify algebraic expressions
Algebra Problem Solver
How to Use the Algebra Solver
Linear Equations (ax + b = c)
- Format: Enter coefficients a, b, and c for the equation ax + b = c
- Example: For 2x + 5 = 11, enter a=2, b=5, c=11
- Solution: The calculator solves for x using algebraic manipulation
Quadratic Equations (ax² + bx + c = 0)
- Format: Enter coefficients a, b, and c for the standard form
- Discriminant: Determines the nature of solutions (real or complex)
- Solutions: Uses the quadratic formula for exact solutions
- Factoring: Shows factored form when possible
Key Algebra Concepts
- Linear Equations: Have exactly one solution (unless degenerate)
- Quadratic Formula: x = (-b ± √(b² - 4ac)) / (2a)
- Discriminant: b² - 4ac determines solution types
- Factoring: Expresses polynomials as products of simpler terms
Educational Applications
- Homework Help: Step-by-step solutions for learning
- Verification: Check your manual calculations
- Concept Understanding: See the algebraic process clearly
- Test Preparation: Practice with various equation types
Frequently Asked Questions
What types of equations can this solver handle?
The calculator can solve linear equations (first degree), quadratic equations (second degree), and provides basic analysis for higher-degree polynomials. It also simplifies algebraic expressions.
How does the quadratic formula work?
The quadratic formula x = (-b ± √(b² - 4ac)) / (2a) provides exact solutions to any quadratic equation. The discriminant (b² - 4ac) tells us whether solutions are real or complex.
What if my equation has no real solutions?
When the discriminant is negative for quadratic equations, the solutions are complex numbers. The calculator will indicate this and show the complex solutions.
Can I solve systems of equations?
This calculator focuses on single-variable equations. For systems of equations, use our Matrix Calculator or Linear Programming Solver.
How accurate are the solutions?
The calculator uses exact arithmetic for rational coefficients and provides solutions accurate to 6 decimal places for irrational results.
Related Calculators
- Matrix Calculator - For systems of linear equations and matrix operations
- Derivative/Integral Calculator - For calculus operations on polynomials
- Complex Number Calculator - For working with complex solutions
- Graphing Calculator - To visualize equations and their solutions