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In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. 3x2 – 18x + 24 = 0II. 5y2 – 50y + 125 = 01. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established. |
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Answer» Correct Answer - Option 2 : x < y I. 3x2 – 18x + 24 = 0 ⇒ 3x2 – 12x – 6x + 24 = 0 ⇒ 3x(x – 4) – 6(x – 4) = 0 ⇒ (x – 4)(3x – 6) = 0 ⇒ x = 4 or 2 II. 5y2 – 50y + 125 = 0 ⇒ 5y2 – 25y – 25y – 125 = 0 ⇒ 5y(y – 5) – 25(y – 5) = 0 ⇒ (y – 5)(5y – 25) = 0 ⇒ y = 5 Comparison between x and y (via Tabulation):
∴ x < y |
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