Bank Exam Quadratic Equations – Page 12 (Big Set)

Factorization • Comparison • Fast Solving Tricks

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🔷 Core Formula

ax² + bx + c = 0

x = (-b ± √(b² − 4ac)) / 2a

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🔷 Factorization Method

Q1. x² − 5x + 6 = 0

(x − 2)(x − 3) = 0

x = 2, 3

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Q2. x² − 7x + 10 = 0

(x − 5)(x − 2) = 0

x = 5, 2

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Q3. x² − 9x + 20 = 0

(x − 5)(x − 4)

x = 5, 4

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Q4. x² − 11x + 30 = 0

(x − 6)(x − 5)

x = 6, 5

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Q5. x² − 13x + 42 = 0

(x − 6)(x − 7)

x = 6, 7

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🔷 Comparison Type Questions

Q6. x² − 5x + 6 = 0

Q7. y² − 7y + 10 = 0

x = 2,3

y = 5,2

Compare:

y > x

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Q8. x² − 9x + 20 = 0

Q9. y² − 11y + 30 = 0

x = 5,4

y = 6,5

y > x

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🔷 Advanced Problems

Q10. x² − 4x − 12 = 0

(x − 6)(x + 2)

x = 6, -2

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Q11. x² + 5x + 6 = 0

(x + 2)(x + 3)

x = -2, -3

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Q12. x² − x − 6 = 0

(x − 3)(x + 2)

x = 3, -2

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Q13. x² + 7x + 12 = 0

(x + 3)(x + 4)

x = -3, -4

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Q14. x² − 3x − 10 = 0

(x − 5)(x + 2)

x = 5, -2

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Q15. x² − 6x + 9 = 0

(x − 3)²

x = 3, 3

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🔷 Shortcut Tricks

• Find two numbers → sum = b, product = c
• Check signs carefully
• Use factorization instead of formula
• Compare roots quickly

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🔥 Topper Tricks

• Don’t use full formula every time
• Factorization is fastest
• Memorize patterns
• Practice comparison type

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Final Tip

Find Factors → Get Roots → Compare Fast