Direction: In each of these questions, two equations Ⅰ and Ⅱ are given. You have to solve both the equations and give answer
( 1 ) if x < y
( 2 ) if x > y
( 3 ) if x = y
( 4 ) if x ≥ y
( 5 ) if x ≤ y or no relationship can be established between x and y.
-
Ⅰ. x2 − 6x = 7
Ⅱ. 2y2 + 13y + 15 = 0
-
- 1
- 2
- 3
- 4
- 5
Correct Option: B
As per the given above question , we have
From equation Ⅰ. x2 − 6x = 7
⇒ x2 − 6x - 7 = 0
⇒ x2 − 7x + x − 7 = 0
⇒ x(x − 7) + 1(x − 7) = 0
⇒ (x + 1)(x − 7) = 0
⇒ x = -1, 7
From equation Ⅱ. 2y2 + 13y + 15 = 0
2y2 + 10y + 3y + 15 = 0
⇒ 2y(y + 5) + 3(y + 5) = 0
⇒ (2y + 3)(y + 5) = 0
| ∴ y = - | , - 5 | |
Hence, x > y is correct answer .
