Equation Solver: Solve Linear & Quadratic Equations | Free
1 usesax + b = 0
x +
= 0
Equation Solver Tips
Linear & Quadratic
Solve first-degree (ax + b = 0) and second-degree (ax² + bx + c = 0) equations.
Step-by-Step Solution
See the complete solution process including discriminant calculation for quadratic equations.
Complex Roots
Handles all cases: two real roots, one repeated root, and two complex conjugate roots.
Learning Tool
Shows the formula and each step, making it perfect for learning algebra.
Frequently Asked Questions
What is the quadratic formula?
x = (-b ± √(b²-4ac)) / 2a. The discriminant Δ = b²-4ac determines the nature of the roots.
What if the discriminant is negative?
When Δ < 0, the equation has two complex conjugate roots. The solver shows both the real and imaginary parts.
Can I solve cubic equations?
Currently, this tool supports linear and quadratic equations. Cubic and higher-degree equations are planned for a future update.
What does step-by-step mean?
The solver shows each calculation step: substituting values, computing the discriminant, and applying the formula.
How can this free equation solver help me practice for my algebra exam?
This free equation solver is an excellent study aid for algebra exams. It allows you to quickly verify your solutions for linear and quadratic equations. By comparing your manual steps with the tool's detailed step-by-step solutions, you can identify errors, understand correct methodologies, and build confidence for your upcoming test. It's perfect for reviewing concepts like the discriminant and complex roots.
How to Solve Equations
- Choose Linear or Quadratic mode
- Enter the coefficients (a, b, c)
- Click Solve
- View the solution with step-by-step working