# In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. x2 - 6x - 40 = 0 II. 2y

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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. x2 - 6x - 40 = 0

II. 2y2 - 17y + 36 = 0

1.

x < y

2.

x > y

3.

x ≤ y

4.

x ≥ y

5.

No relation in x and y or x = y

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Correct Answer - Option 5 :

No relation in x and y or x = y

Given:

I. x2 - 6x - 40 = 0

II. 2y2 - 17y + 36 = 0

Calculation:

From I

x2 - 6x - 40 = 0

⇒ x2 - 10x + 4x - 40 = 0

⇒ x(x - 10) + 4(x - 10) = 0

⇒ (x - 10)(x + 4) = 0

⇒ x = 10, -4

From II

2y2 - 17y + 36 = 0

⇒ 2y2 - 8y - 9y + 36 = 0

⇒ 2y(y - 4) - 9(y - 4) = 0

⇒ (y - 4)(2y - 9) = 0

⇒ y = 4, 9/2

Comparison between x and y (via Tabulation)

 Value of x Value of y Relation between x & y -4 9/2 x < y -4 4 x < y 10 9/2 x > y 10 4 x > y

∴ No relation in x and y or x = y.