Quadratic equations are polynomial equations of degree 2. They appear everywhere in real life — from projectile motion to area calculations.
The standard form is: ax² + bx + c = 0
The three methods to solve:
1. Factorization: Express as (x-p)(x-q) = 0
2. Completing the Square
3. Quadratic Formula: x = (-b ± √(b²-4ac)) / 2a
The discriminant b²-4ac tells us:
- If positive: two real solutions
- If zero: one solution
- If negative: no real solutions
Practice makes perfect — aim for 10 problems daily!
About the Author
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Priya Patel
Expert mathematics teacher with 8 years of experience. Specialized in making complex concepts simple and approachable for students of all levels.