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Quadratic Equation Tricks (Comparison Method) – Bank Exams

Fast Solving • Roots Method • Easy Comparison

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1. What is Quadratic Equation?

An equation of the form:

ax² + bx + c = 0

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2. Goal in Exams

👉 Find roots of two equations
👉 Compare values of x

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3. Solving Trick

Split middle term → factorize → find roots

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4. Example

x² - 5x + 6 = 0

👉 (x - 2)(x - 3) = 0
👉 x = 2, 3 ✔

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5. Comparison Method

Equation 1: x² - 5x + 6 = 0 → roots: 2, 3
Equation 2: x² - 7x + 10 = 0 → roots: 2, 5

👉 Compare roots → choose correct option

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6. Important Cases

• Both roots greater ✔
• Both roots smaller ✔
• One equal ✔
• No relation ✔

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7. Common Mistakes

• Wrong factorization ❌
• Not comparing properly ❌
• Calculation errors ❌

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8. Topper Tip

Memorize common factor pairs. Solve within 30–40 seconds.

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9. Quick Practice

x² - 9x + 20 = 0

👉 (x - 4)(x - 5) = 0
👉 x = 4, 5 ✔

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