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Quadratic Solver
AlgebraNew
Solve quadratic equations ax² + bx + c = 0. Get real and complex roots with step-by-step solutions.
Enter Your Equation
ax² + bx + c = 0
Solution
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Enter coefficients a, b, and c
Understanding Quadratic Equations
Quadratic equations show up more often than you'd think - calculating projectile motion, optimizing profits in business, even designing suspension bridges. The standard form is ax² + bx + c = 0, where a, b, c are numbers and a ≠ 0. Our solver handles real and complex roots.
The Quadratic Formula
x = [-b ± √(b² - 4ac)] / (2a)
Example: x² - 3x + 2 = 0 → a=1, b=-3, c=2 → x = (3 ± √(9-8)) / 2 = (3 ± 1)/2 → x = 2 or x = 1
Frequently Asked Questions
About the Quadratic Solver
Solve quadratic equations ax² + bx + c = 0. Get real and complex roots with step-by-step solutions.
Formula
x = [-b ± √(b² - 4ac)] / (2a)
Reference Table
| Category | Value |
|---|---|
| x² - 3x + 2 = 0 | x = 2, x = 1 |
| x² + 2x - 8 = 0 | x = 2, x = -4 |
| x² - 4 = 0 | x = 2, x = -2 |
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