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Given Equation is 5x - 2y = 7 and xy = 2.
Now,
We know that (a-b)^2 = (a+b)^2 - 4ab
(5x - 2y)^2 = (5x + 2y)^2 - 4 * 5x * 2y
(7)^2 = (5x + 2y)^2 - 40(xy)
49 = (5x + 2y)^2 - 40(2)
49 + 80 = (5x + 2y)^2
129 = (5x + 2y)^2.
Therefore (5x + 2y)^2 = 129.
Hope this helps!
Now,
We know that (a-b)^2 = (a+b)^2 - 4ab
(5x - 2y)^2 = (5x + 2y)^2 - 4 * 5x * 2y
(7)^2 = (5x + 2y)^2 - 40(xy)
49 = (5x + 2y)^2 - 40(2)
49 + 80 = (5x + 2y)^2
129 = (5x + 2y)^2.
Therefore (5x + 2y)^2 = 129.
Hope this helps!
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