Solve Linear & Quadratic Equations Instantly
How to Use This Equation Solver
Follow these simple steps to solve equations quickly.
Select Equation Type
Choose between Linear (ax + b = 0) or Quadratic (ax² + bx + c = 0) equation.
Enter Coefficients
Input the coefficients for your equation. For linear: a and b. For quadratic: a, b, and c.
Solve
Click "Solve Equation" to get instant results with step-by-step solutions.
Equation Examples
Simple Linear
Quadratic (Two Solutions)
Quadratic (One Solution)
Understanding Equations
Linear Equations (1st Degree)
A linear equation has the form: ax + b = 0
Quadratic Equations (2nd Degree)
A quadratic equation has the form: ax² + bx + c = 0
Discriminant (Δ = b² - 4ac):
- Δ > 0: Two distinct real solutions
- Δ = 0: One repeated real solution
- Δ < 0: Two complex conjugate solutions
Frequently Asked Questions
What is a linear equation?
A linear equation is a first-degree polynomial equation with one variable. It has the form ax + b = 0, where a ≠ 0.
What is a quadratic equation?
A quadratic equation is a second-degree polynomial equation with the form ax² + bx + c = 0, where a ≠ 0.
Can quadratic equations have complex solutions?
Yes! When the discriminant (b² - 4ac) is negative, the equation has two complex conjugate solutions.
What if coefficient a is zero?
If a = 0 in a quadratic equation, it becomes a linear equation. Our solver automatically handles this case.
Instant Solutions
Get equation solutions in milliseconds with our optimized algorithm.
Step-by-Step
View detailed solution steps to understand the solving process.
Complex Numbers
Handles real and complex solutions for quadratic equations.