Question

Find the value of 625x² + 676y2, if 25x – 26y = 16 and xy =7.

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Answer 1

given that

xy = 7

and

25x - 26 y = 16

squaring on both sides

625x² + 676y² - 2(25)(26)xy = 256

625x² + 676y² - 1300(7) = 256

625x² + 676y² - 9100 = 256

625x² + 676y² = 256 + 9100

625x² + 676y² = 9356