106]
1/2 × 2/3 × 3/4 × ... × n/(n + 1) = 2^-8
1/2 × 2/3 × 3/4 × ... × n/(n + 1) = 1/2^8
1 × 1 × 1 × ... × 1/(n + 1) = 1/256
1/(n + 1) = 1/256
n + 1 = 256
n = 256 - 1
n = 255 (C)
107]
[(x - 1/x)/(1 - 1/x)]^-2 = 3^-8
[(1 - 1/x)/(x - 1/x)]^2 = 1/3^8
(1 - 2/x + 1/x^2)/(x^2 - 2 + 1/x^2) = 1/6561
(x^2 - 2x + 1)/(x^4 - 2x^2 + 1) = 1/6561
(x - 1)^2/(x^2 - 1)^2 = 1/6561
[(x - 1)/(x^2 - 1)]^2 = 1/6561
(x - 1)/(x^2 - 1) = V(1/6561)
(x - 1)/(x^2 - 1) = 1/81
81(x - 1) = 1(x^2 - 1)
81x - 81 = x^2 - 1
x^2 - 81x + 81 - 1 = 0
x^2 - 81x + 80 = 0
(x - 80)(x - 1) = 0
x - 80 = 0 atau x - 1 = 0
x = 80 atau x = 1
(x = 1 tidak termasuk karena nilai x =/= 1)
maka nilai x = 80 (C)
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
106]
1/2 × 2/3 × 3/4 × ... × n/(n + 1) = 2^-8
1/2 × 2/3 × 3/4 × ... × n/(n + 1) = 1/2^8
1 × 1 × 1 × ... × 1/(n + 1) = 1/256
1/(n + 1) = 1/256
n + 1 = 256
n = 256 - 1
n = 255 (C)
107]
[(x - 1/x)/(1 - 1/x)]^-2 = 3^-8
[(1 - 1/x)/(x - 1/x)]^2 = 1/3^8
(1 - 2/x + 1/x^2)/(x^2 - 2 + 1/x^2) = 1/6561
(x^2 - 2x + 1)/(x^4 - 2x^2 + 1) = 1/6561
(x - 1)^2/(x^2 - 1)^2 = 1/6561
[(x - 1)/(x^2 - 1)]^2 = 1/6561
(x - 1)/(x^2 - 1) = V(1/6561)
(x - 1)/(x^2 - 1) = 1/81
81(x - 1) = 1(x^2 - 1)
81x - 81 = x^2 - 1
x^2 - 81x + 81 - 1 = 0
x^2 - 81x + 80 = 0
(x - 80)(x - 1) = 0
x - 80 = 0 atau x - 1 = 0
x = 80 atau x = 1
(x = 1 tidak termasuk karena nilai x =/= 1)
maka nilai x = 80 (C)