Question

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

I: x² + 6x – 247 = 0

II: y² + 27y + 182 = 0

1.

x > y

2.

x ≤ y

3.

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

4.

x ≥ y

5. x < y

Answer 1

Correct Answer - Option 3 :

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

Calculation:

I: x² + 6x – 247 = 0

⇒ x² – 13x + 19x – 247 = 0

⇒ x × (x – 13) + 19× (x – 13) = 0

⇒ (x – 13) × (x + 19) = 0

⇒ x = (-19), 13

II: y² + 27y + 182 = 0

⇒ y² +14y + 13y + 182 = 0

⇒ y × (y + 14) + 13 × (y + 14) = 0

⇒ (y + 13) × (y + 14) = 0

⇒ y = -14, -13

Comparison between x and y (via Tabulation):

Value of x	relation	Value of y
-19	<	-14
-19	<	-13
13	>	-14
13	>	-13

 

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