Mathematics
If 4x2 + y2 = a and xy = b, find the value of 2x + y.
Expansions
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Answer
⇒ (2x + y)2 = (2x)2 + y2 + 2 × 2x × y
⇒ (2x + y)2 = 4x2 + y2 + 4xy
Substituting values we get,
⇒ (2x + y)2 = a + 4b
⇒ (2x + y) = .
Hence, (2x + y) = .
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