🧮 Equation Calculator: Linear & Quadratic
Solve for 'x' without the headache. Our Online Equation Calculator solves algebra problems in seconds. Whether you're facing a simple linear equation or a second-degree polynomial, you'll get the exact result and a detailed explanation of every step.
📐 Equation Types
- Linear Equation (Degree 1): Form ax + b = c. Represents a straight line on the graph. Has a unique solution.
- Quadratic Equation (Degree 2): Form ax² + bx + c = 0. Represents a parabola. Can have two real solutions, one double root, or imaginary solutions.
✅ Advantages of this tool
- ✅ Step-by-Step Solving: Visualize how the variable is isolated or how the general formula is applied.
- ✅ Discriminant Analysis: In quadratic mode, we calculate the discriminant (Δ) to predict the nature of roots.
- ✅ Complex Support: If the solution requires imaginary numbers (i), we show them too.
- ✅ Academic Format: Ideal for students needing to verify homework and understand the procedure.
🛠️ How to Use
- Select equation type from the top tabs (Linear or Quadratic).
- Identify the coefficients (a, b, c) in your problem.
- Enter them into the corresponding boxes.
- Click 'Solve' to see the value of 'x' and the breakdown of steps.
🤓 The Discriminant (Δ)
In quadratic equations, the discriminant Δ = b² - 4ac tells us everything:
• If Δ > 0: There are 2 real solutions.
• If Δ = 0: There is 1 solution (double).
• If Δ < 0: No real solutions (they are complex).