If 4x2+ y2= 40 and xy = 6, find the value of 2x + y and 2x – y.
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Given,
4x²+y²=40, xy=6
Hence, (2x+y)²= (2x)²+2*xy+(y)²= 40+2*6= 52
Or, 2x+y= √52=2√13
(2x-y)²=(2x)²-2*xy+(y)²= 40-2*6
Or , 2x-y = √ 28= 2√7
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