Correct Answer - Option 5 : x = y
or the relationship between x and y cannot be established.
I. x2 + 14x - 147 = 0
⇒ x2 + 21x – 7x - 147 = 0
⇒ (x + 21)(x - 7) = 0
⇒ x = -21, 7
II. 6y2 - y - 5 = 0
⇒ 6y2 - 6y + 5y - 5 = 0
⇒ (6y + 5)(y - 1) = 0
⇒ y = -5/6, 1
Value of x
|
Value of y
|
Relation
|
-21
|
-5/6
|
x < y
|
-21
|
1
|
x < y
|
7
|
-5/6
|
x > y
|
7
|
1
|
x > y
|
Hence, x > y and x < y so the relationship between x and y cannot be established.