Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 33x + 252 = 0

II. y² + 49y + 544 = 0 

1. x > y
2. x ≥ y
3. y > x
4.

y ≥ x

5. x = y or relationship between x and y cannot be established.

Answer 1

Correct Answer - Option 5 : x = y or relationship between x and y cannot be established.

Given:

I. x2 + 33x + 252 = 0

II. y2 + 49y + 544 = 0 

Calculation:

I. x2 + 33x + 252 = 0

⇒ x2 + 21x + 12x + 252 = 0

⇒ x (x + 21) + 12(x + 21) = 0

⇒ (x + 21) (x + 12) = 0

⇒ x = -21, -12

II. y2 + 49y + 544 = 0 

⇒ y² + 32y + 17y + 544 = 0

⇒ y(y + 32) + 17(y + 32) = 0

⇒ (y + 32) (y + 17) = 0

⇒ y = -32, -17

Comparison between x and y (via Tabulation):

x	y	Relation
-21	-32	x > y
-21	-17	x < y
-12	-32	x > y
-12	-17	x > y

 

∴ x = y or relationship between x and y cannot be established.