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

1.	If 2x + 3y = 8 and xy = 2 , find the value of 4xsq. + 9ysq.
Answer» First take 2x + 3y = 8 Now squaring both sidesTherefore, (2x + 3y)sq. = (8)sq.Now, (2x)sq. + (3y)sq. + 2(2x + 3y) = 64Now, 4xsq. + 9ysq. + 2(8) = 64Now, 4xsq. + 9ysq. + 16 = 64Now, 4xsq. + 9ysq. = 64-16Now, 4xsq. + 9ysq. = 58Therefore, the value of 4xsq. + 9ysq. Is equals to 58

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