Bank Exam Quadratic Equations & Comparison – Page 13 (Premium Guide)
Factorization • Root Comparison • Fast Solving Techniques
Core Concept
Quadratic Equation: ax² + bx + c = 0
x = (−b ± √(b² − 4ac)) / 2a
In bank exams, factorization is faster than using formula.
Factorization Technique
Find two numbers such that:
- Sum = b
- Product = c
Practice Questions
Q1. x² − 5x + 6 = 0
(x − 2)(x − 3)
x = 2, 3
Q2. x² − 7x + 10 = 0
(x − 5)(x − 2)
x = 5, 2
Q3. x² − 9x + 20 = 0
(x − 5)(x − 4)
x = 5, 4
Q4. x² − 11x + 30 = 0
(x − 6)(x − 5)
x = 6, 5
Q5. x² − 13x + 42 = 0
(x − 6)(x − 7)
x = 6, 7
Negative Roots Practice
Q6. x² + 5x + 6 = 0
(x + 2)(x + 3)
x = −2, −3
Q7. x² − x − 6 = 0
(x − 3)(x + 2)
x = 3, −2
Q8. x² + 7x + 12 = 0
(x + 3)(x + 4)
x = −3, −4
Q9. x² − 6x + 9 = 0
(x − 3)²
x = 3, 3
Comparison Type Questions
Q10.
x² − 5x + 6 = 0
y² − 7y + 10 = 0
x = 2, 3
y = 5, 2
Comparison: y ≥ x
Q11.
x² − 9x + 20 = 0
y² − 11y + 30 = 0
x = 5, 4
y = 6, 5
Comparison: y ≥ x
Topper Tips
- Always use factorization
- Avoid quadratic formula unless needed
- Check sign of roots carefully
- Compare minimum and maximum values
Exam Strategy
- Solve within 15 seconds
- Focus on comparison logic
- Skip complex equations initially
Final Tip
Factorize Quickly → Find Roots → Compare Smartly
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