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If 4x² + 12x + 9 = 0 and 2y² + 11y + 14 = 0, establish the relation between x and y.
Ax > y
Bx < y
Cx ≤ y
Dx = y
Answer & Solution
Correct answer: A. x > y
1. 4x² + 12x + 9 = (2x + 3)² = 0 ⇒ x = −1.5.
2. 2y² + 11y + 14 = 0 ⇒ y = (−11 ± √(121 − 112))/4 = (−11 ± 3)/4 ⇒ y = −2 or −3.5.
3. x = −1.5 is greater than both −2 and −3.5, so **x > y**.
_Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.45_
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