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If 4x2 + y2 = 40 and xy = b find the value of 2x + y. |
Answer» We have (a + b)2 = a2 + 2ab + b2 (2x + y)2 = (2x)2 + (2 (x) 2x (x) y) + y2 = (4x2 + y2) + 4xy = 40 + 4 x 6 = 40 + 24 (2x + y)2 = 64 (2x + y)2 = 82 2x + y = 8 |
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