Mastering Quadratic Equations: Notes & Solved Problems
Quadratic Equations Quick Guide: To solve any quadratic equation in the form
ax² + bx + c = 0, use the quadratic formula:x = (-b ± √D) / 2a, where the discriminantD = b² - 4ac.
A step-by-step student guide covering all four core sections. Tap any problem to reveal the full solution with worked steps. CBSE Class 10 Maths Syllabus 2026-27
Standard Form of Quadratic Equations & Discriminant Rules
Solving Quadratic Equations by Factorization & Quadratic Formula
Class 10 Quadratic Equations Important MCQs & Solutions
| Discriminant (D) | Nature of Roots | Example |
|---|---|---|
D > 0 |
Two distinct real roots | x² - 5x + 6 = 0 |
D = 0 |
Two equal real roots | x² - 4x + 4 = 0 |
D < 0 |
No real roots | x² + x + 1 = 0 |
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Quick reference cheat sheet.Important Formulas.
Standard form
ax² + bx + c = 0
(a ≠ 0)
(a ≠ 0)
Quadratic formula
x = (−b ± √D) / 2a
Discriminant
D = b² − 4ac
Splitting middle term
Find p, q: p·q = ac, p+q = b
D > 0
Two distinct real roots
D = 0
Two equal (coincident) roots
D < 0
No real roots
