Deje que sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x))) = 2 ¿Qué x?

Deje que sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x))) = 2 ¿Qué x?
Anonim

Responder:

# x = 961 #

Explicación:

#sqrt (1 + sqrt (3 + sqrt (5 + sqrtx))) = 2 #

o # 1 + sqrt (3 + sqrt (5 + sqrtx)) = 4 #

o #sqrt (3 + sqrt (5 + sqrtx)) = 3 #

o # 3 + sqrt (5 + sqrtx) = 9 #

o #sqrt (5 + sqrtx) = 6 #

o # 5 + sqrtx = 36 #

o # sqrtx = 31 # o # x = 961 #