Class 10 · Chapter 4 · Algebra
Quadratic Equations
Equations with a squared term, and how to read their roots before finding them.
Source: NCERT Mathematics, Class 10
- 4.1What Makes an Equation QuadraticAttention · Look for the squared term that survives after simplifying.8 min
- 4.2Factorisation: Split the Middle TermAttention · Look at the product a × c, not at c alone.12 min
- 4.3The Quadratic FormulaAttention · Look at the 2a: it divides the whole numerator, not just the root.10 min
- 4.4The Discriminant and the Nature of RootsAttention · Look at the sign of D, not the size of any one part.10 min
Problems
The clue is in the question
- 1Two even neighboursFind two consecutive positive even integers whose product is 224.Lens · The landmarkPractice (NCERT style)
- 2Two odd squaresThe sum of the squares of two consecutive odd positive integers is 394. Find them.Lens · The landmarkJEE-style practice
- 3Two apart, squares 202Two natural numbers differ by 2 and the sum of their squares is 202. The sum of the numbers is:Lens · The landmarkPractice
- 4Consecutive squares, 365The sum of the squares of two consecutive positive integers is 365. The sum of the numbers is:Lens · The landmarkNCERT Ex 4.2 Q4, as a multiple-choice question