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Question -

If 2x + 3y = 8 and xy = 2, find the value of 4X2 + 9y2.



Answer -

2x + 3y = 8 and xy = 2
Now, (2x + 3y)2 = (2x)2 + (3y)2 +2 x 2x x 3y
 (8)2 = 4x2 +9y2 + 12xy
64 = 4X2 + 9y2 +12 x 2
64 = 4x2 + 9y2 +24
4x2 + 9y2 =64 – 24 = 40
4x2 + 9y2 =40

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