Laat sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x)))) = 2 Welke x?

Laat sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x)))) = 2 Welke x?
Anonim

Antwoord:

# X = 961 #

Uitleg:

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

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

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

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

of #sqrt (5 + sqrtx) = 6 #

of # 5 + sqrtx = 36 #

of # Sqrtx = 31 # of # X = 961 #