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In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. 6x2 – 72x + 216 = 0

II. y2 – 18y + 81 = 0


1. x > y
2. x ≥ y
3. x < y
4. x ≤ y
5.

x = y or the relationship cannot be established.

1 Answer

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Best answer
Correct Answer - Option 3 : x < y

I. 6x2 – 72x + 216 = 0

⇒ 6x2 – 36x – 36x + 216 = 0

⇒ 6x(x – 6) – 36(x – 6) = 0

⇒ (x – 6)(6x – 36) = 0

⇒ x = 6

II. y2 – 18y + 81 = 0

⇒ y2 – 9y – 9y + 81 = 0

⇒ y(y – 9) – 9(y – 9) = 0

⇒ (y – 9)(y – 9) = 0

⇒ y = 9

x < y.

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