Quadratic Formula Calculator
Solve equations of the form ax² + bx + c = 0
Enter Coefficients
Coefficient of x²
Coefficient of x
Constant term
Equation
About the Quadratic Formula
The quadratic formula solves equations of the form ax² + bx + c = 0
x = (-b ± √(b² – 4ac)) / 2a
The Quadratic Formula
b² – 4ac > 0
Two distinct real solutions
b² – 4ac = 0
One repeated real solution
b² – 4ac < 0
Two complex solutions
Quadratic Formula Calculator – Free Online Tool
Solving quadratic equations in mathematics is challenging for many students and professionals, and it also takes a lot of time; that is why we have created a quadratic equation calculator. With the help of this calculator, you can get by step-by-step solution, that too very fast and with the correct answer. It will be easy for you to solve equations with the Quadratic Formula Calculator tool
What is a Quadratic Equation?
A quadratic equation is an equation of the form:
ax² + bx + c = 0
- a, b, c = constants
- x = variable
Example: 2x² + 3x – 5 = 0
Quadratic Formula
If you want to solve Quadratic Equations, then you need a formula for it. The easiest way to solve it is the Quadratic Formula
x = (-b ± √(b² – 4ac)) / 2a
- b² – 4ac is called the Discriminant
- If discriminant > 0 → there are two different real roots
- If discriminant = 0 → there is only one real root
- If discriminant < 0 → roots are imaginary
How to Use the Quadratic Formula Calculator?
- Enter the values of a, b, and c.
- Press the Calculate button.
- You will get both the roots in seconds.
- A step-by-step solution will also be visible.
Why use the Quadratic Formula Calculator?
- Students: For quick solutions in homework and exams
- Teachers: To show a step-by-step explanation
- Professionals: To solve Engineering, Physics, and Economics problems
FAQ – Quadratic Formula Calculator
Q1. What is the quadratic formula used for?
The quadratic formula is used to solve quadratic equations of the form ax² + bx + c = 0.
Q2. Can this calculator show step-by-step solutions?
Yes, it provides step-by-step explanations for better understanding.
Q3. Can it solve imaginary roots?
Yes, if the discriminant is negative, the calculator shows imaginary roots.
Q4. Is this tool free to use?
Absolutely! It’s a free online quadratic equation solver.