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Given, x = 1/2 - 1/2 - 1/(2 - x)
=> x = -1/(2 - x)
=> x(2 - x) = -1
=> 2x - x*x = -1
=> 2x - x2 = -1
=> x2 - 2x - 1 = 0
=> x = [-(-2) ± √{(-2)2 - 4 * 1 * (-1)}]/2
=> x = {2 ± √(4 + 4)/2
=> x = {2 ± √8}/2
=> x = {2 ± 2√2}/2
=> x = 1 ± √2