Known: x square - x = 1, y square - y = 1 and X ≠ y, find x square + 2XY + y square Find the digital value of x square + 2XY + y square

Known: x square - x = 1, y square - y = 1 and X ≠ y, find x square + 2XY + y square Find the digital value of x square + 2XY + y square

Xsquare - x = 1, ysquare - y = 1 and X ≠ y
It is shown that X and y are two unequal roots of the equation x ^ 2-x-1 = 0
Then there is: x + y = 1 / 2
The formula can be reduced to: (x + y) ^ 2
So the result is (1 / 2) ^ 2, which is 1 / 4