How to Calculate Quadratic Formula
What is Quadratic Formula?
Quadratic formula solves ax² + bx + c = 0: x = (-b ± √(b²-4ac)) / 2a. Always finds roots (real or complex).
Step-by-Step Guide
- 1Input coefficients a, b, c
- 2Calculate discriminant b²-4ac
- 3Apply formula; show real or complex roots
Worked Examples
Input
x² - 5x + 6 = 0
Result
x = (5 ± 1)/2 → x=3 or x=2
Common Mistakes to Avoid
- ✕Sign errors in formula
- ✕Not simplifying radicals
Frequently Asked Questions
What does discriminant tell?
>0 two reals, =0 one repeated, <0 complex conjugate pair.
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