Correct Answer - Option 5 :
x = y or relationship between x and y cannot be established
Calculation:
I. x2 + 33x – 70 = 0
⇒ x2 + 35x – 2x – 70 = 0
⇒ x(x + 35) – 2(x + 35) =0
⇒ (x + 35) (x – 2) = 0
⇒ x = – 35, 2
II. y2 + 27y + 50 = 0
⇒ y2 + 25y + 2y + 50 = 0
⇒ y(y + 25) + 2(y + 25) = 0
⇒ (y + 25) (y + 2) = 0
⇒ y = –25, –2
Comparison between x and y (via tabulation):
X
|
Y
|
Relation
|
– 35
|
–25
|
x < y
|
– 35
|
–2
|
x < y
|
2
|
–25
|
x > y
|
2
|
–2
|
x > y
|
∴ x = y or relationship between x and y cannot be established