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.