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x^2=121
x= raíz 2 de 121
x= 11
entonces
(x+1)² - x² = 121
por trinomio cuadrado perfecto
x²+ 2x +1 - x² = 121
cancelamos x²
2x +1 = 121
2x = 121 - 1
2x =120
x = 60 numero menor
entonces
x +1 = 61 numero mayor