Question

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

I. x² − 16x − 105 = 0

II. y² + 16y − 105 = 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.

Answer 1

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

I. x2 − 16x − 105 = 0

⇒ x2 − 21x + 5x − 105= 0

⇒ x(x − 21) + 5(x − 21) = 0

x = − 5, 21

 

II. y2 + 16y − 105 = 0

⇒ y2 + 21y − 5y + 105 = 0

⇒ y(y + 21) − 5(y + 21) = 0

 y = − 21,  5

 

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
21	- 21	x > y
21	5	x > y
- 5	- 21	x > y
- 5	5	x < y

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