Tuesday, 2 June 2026

Bank Exam Practice Material Series Page 3 | Advanced Quadratic Equation Tricks & Root Comparison

Shaktimatha Learning

Ultimate Bank Exam Practice Material Series 2026

Premium Multilingual Educational Ecosystem for Bank Exams, SSC, Railways, Insurance, Government Jobs, Quantitative Aptitude, Reasoning, Mock Tests, and Speed Maths Preparation.

Advanced Quadratic Equations

Root Analysis

Heavy Standard Questions

Shortcut Tricks

Page 3 – Advanced Quadratic Equation Tricks & Root Comparison

Master advanced quadratic equation solving methods, root comparison tricks, factorization techniques, and fast calculation approaches for competitive examinations.

Why Quadratic Equations Matter

Important topic in Bank prelims and mains
Improves analytical thinking
Strengthens algebra concepts
Enhances comparison ability
Boosts logical calculation speed

Key Concepts Covered

Factorization Methods
Root Comparison
Square Root Logic
Equation Simplification
Fast Solving Tricks

Important Quadratic Concepts

Quadratic Equation

Quadratic Formula

Difference of Squares

Advanced Quadratic Tricks

Trick 1 – Factorization Method

x² − 9x + 20 = 0

Find two numbers:

Product = 20 and Sum = 9

5 and 4

(x − 5)(x − 4)

Roots = 5, 4

Trick 2 – Difference of Squares

x² − 49 = 0

(x − 7)(x + 7)

Roots = 7, −7

Trick 3 – Root Comparison

x² − 16 = 0

x = ±4

Compare with:

y² − 25 = 0

y = ±5

y > x

Heavy Standard Practice Questions

Question 1

x² − 13x + 40 = 0

Roots = 5, 8

Question 2

x² − 64 = 0

Roots = ±8

Question 3

x² − 11x + 24 = 0

Roots = 3, 8

Question 4

x² − 100 = 0

Roots = ±10

Fast Revision Table

Concept	Shortcut Idea
Factorization	Split middle term logically
Difference of Squares	Use (a − b)(a + b)
Root Comparison	Compare square roots quickly
Quadratic Formula	Use direct formula when needed