Naj sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x)))) = 2 Kaj x?

Naj sqrt (1 + sqrt (3 + sqrt (5+ sqrt (x)))) = 2 Kaj x?
Anonim

Odgovor:

# x = 961 #

Pojasnilo:

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

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

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

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

ali #sqrt (5 + sqrtx) = 6 #

ali # 5 + sqrtx = 36 #

ali # sqrtx = 31 # ali # x = 961 #