Algebra
Quadratic Formula - Algebra
Learn the quadratic formula with examples, step-by-step guide, and calculator tools. Solve quadratic equations of the form ax² + bx + c = 0
The quadratic formula is a fundamental concept in algebra. Solve quadratic equations of the form ax² + bx + c = 0. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
Variables
x
Solution(s)
a
Coefficient of x²
b
Coefficient of x
c
Constant term
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [1,-5,6] → x = (5 ± √(25-24)) / 2 = (5 ± 1) / 2 = 3 or 2
Example 2
Example 2: x = 3 or x = 2
Frequently Asked Questions
What is the quadratic formula?
Solve quadratic equations of the form ax² + bx + c = 0
How do I calculate quadratic formula?
Use the formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. Follow the steps provided above.
What tools can help with quadratic formula?
We provide online calculators: calculator