Correct Answer - Option 5 : x = y or relationship between x and y cannot be established
Calculation:
I. 15x2 – 29x – 14 = 0
⇒ 15x2 – 35x + 6x – 14 = 0
⇒ 5x(3x – 7) + 2(3x – 7) = 0
⇒ (5x + 2) (3x – 7) = 0
⇒ x = -2/5 or 7/3
II. 6y2 – 5y – 25 = 0
⇒ 6y2 – 15y + 10y – 25 = 0
⇒ 3y(2y – 5) + 5(2y – 5) = 0
⇒ (3y + 5) (2y – 5) = 0
⇒ y = -5/3 or 5/2
Value of x
|
Value of y
|
Relation
|
-2/5
|
5/2
|
x < y
|
-2/5
|
-5/3
|
x > y
|
7/3
|
5/2
|
x > y
|
7/3
|
-5/3
|
x > y
|
∴ Relationship between x and y cannot be established