Direction: In this question 2 equations numbered I and II are given. You have to solve both the equations and find out the correct option.
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Ⅰ. x2 + 10x + 24 = 0
Ⅱ. 4y2 − 17y + 18 = 0
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- x ≤ y
- x ≥ y
- Relationship between x and y cannot be established
- x > y
- x < y
Correct Option: E
As per the given above question , we can say that
From equation Ⅰ. x2 + 10x + 24 = 0
⇒ x2 + 6x + 4x + 24 = 0
⇒ x(x + 6) + 4(x + 6) = 0
⇒ (x + 4)(x + 6) = 0
∴ x = −4, −6
From equation Ⅱ. 4y2 − 17y + 18 = 0
⇒ 4y2 − 9y − 8y + 18 = 0
⇒ 4y(y − 2) − 9(y − 2) = 0
⇒ (4y − 9)(y − 2) = 0
| ∴ y = | , 2 | |
Hence, correct answer is x < y .
