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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 + 8x + 15 = 0

II. y2 + 12y + 35 = 0


1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relationship between x and y cannot be established. 

1 Answer

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Best answer
Correct Answer - Option 3 : x ≥ y

Calculation:

I. x2 + 8x + 15 = 0

⇒ x2 + 3x + 5x+ 15 = 0

⇒ x(x + 3) + 5(x + 3) = 0

⇒ (x + 3) (x + 5) = 0

∴ x = -3, -5

II. y2 + 12y + 35 = 0

⇒ y2 + 5x + 7x + 35 = 0

⇒ y(y + 5) + 7(x + 5) = 0

⇒ (y + 5) (y + 7) = 0

∴ y = -5, -7

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

-3

-5

x > y

-3

-7

x > y

-5

-5

x = y

-5

-7

x > y


∴x ≥ y 

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