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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Answer (1)
18th Jan, 2024
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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