Cual es el numero que al extraer su raiz cubica deja un residuo maximo igual a 720..... ME AYUDAN PORFA
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∛A= x residuo máximo = 3x (x+1)
720 = 3x² + 3x
0 = 3x² + 3x - 720 dividiendo entre 3
0 = x² + x - 240
x 16
x - 15
x = -16 ∨ x = 15 tomamos el positivo
luego
A = x³ + residuo = 15³ + 720 = 3375 + 720 = 4095