Question : If 4x2 + y2 = 40 and xy = 6, then find the value of 2x + y.
Option 1: 6
Option 2: 8
Option 3: 5
Option 4: 4
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Correct Answer: 8
Solution : Given: 4x 2 + y 2 = 40 and xy = 6 (2x + y) 2 = 4x 2 + y 2 + 2 × 2x × y ⇒ (2x + y) 2 = 40 + 4 × 6 ⇒ (2x + y) 2 = 64 $\therefore$ 2x + y = 8 Hence, the correct answer is 8.
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