If x - y = 2 and xy = 3, then x + y =?

A 4

B -4

C 16

D ±4

Solution

Correct Answer: Option D

(x – y)² = (x + y)² - 4xy
⇒ 2² = (x + y)² - 4 × 3
⇒ (x + y)² = 12 + 4
⇒ x + y = √16
⇒ x + y = ± 4

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