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x² - x + 1/4 = 0
hemos obtenido una cuadrática
-b±√b² - 4.a.c
-----------------
2a
1 ±√(-1)² - 4.(-1).(-1/4) 1±√0 1
------------------------------= --------- = -----
2 2 2
resultado en forma factorizada
x² - x + 1/4 = (x - 1/2)²
saludos