Pertanyaan

Jika ⎝ ⎛ 1 − x 1 x − x 1 ⎠ ⎞ − 2 = 3 − 8 , maka nilai x adalah ....

Jika $⎝ ⎛ \frac{x - \frac{1}{x}}{1 - \frac{1}{x}} ⎠ ⎞^{- 2} = 3^{- 8}$ , maka nilai $x$ adalah ....

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Habis dalam

Klaim

R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Disamakan terlebih dahulu sisi kanan dan sisi kiri persamaan Setelah sama, maka Jadi, jawaban yang tepat adalah C.

Disamakan terlebih dahulu sisi kanan dan sisi kiri persamaan

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis fraction numerator size 14px x size 14px minus begin mathsize 14px display style 1 over x end style over denominator size 14px 1 size 14px minus begin mathsize 14px display style 1 over x end style end fraction size 14px right parenthesis to the power of size 14px minus size 14px 2 end exponent end cell size 14px equals cell size 14px 3 to the power of size 14px minus size 14px 8 end exponent end cell row cell begin mathsize 14px style left parenthesis begin display style fraction numerator x squared minus 1 over denominator x end fraction end style right parenthesis end style to the power of size 14px minus size 14px 2 end exponent over begin mathsize 14px style left parenthesis begin display style fraction numerator x minus 1 over denominator x end fraction end style right parenthesis end style to the power of size 14px minus size 14px 2 end exponent end cell size 14px equals cell size 14px 1 over size 14px 3 to the power of size 14px 8 end cell row cell size 14px left parenthesis fraction numerator size 14px x size 14px minus size 14px 1 over denominator size 14px x end fraction size 14px right parenthesis to the power of size 14px 2 over size 14px left parenthesis fraction numerator size 14px x to the power of size 14px 2 size 14px minus size 14px 1 over denominator size 14px x end fraction size 14px right parenthesis to the power of size 14px 2 end cell size 14px equals cell size 14px 1 over size 14px 3 to the power of size 14px 8 end cell row cell begin mathsize 14px style left parenthesis x minus 1 right parenthesis end style to the power of size 14px 2 over size 14px x to the power of size 14px 2 size 14px cross times size 14px x to the power of size 14px 2 over begin mathsize 14px style left parenthesis x squared minus 1 right parenthesis end style to the power of size 14px 2 end cell size 14px equals cell size 14px 1 over size 14px 3 to the power of size 14px 8 end cell row cell fraction numerator size 14px left parenthesis size 14px x size 14px minus size 14px 1 size 14px right parenthesis to the power of size 14px 2 over denominator size 14px left parenthesis size 14px x size 14px minus size 14px 1 size 14px right parenthesis to the power of size 14px 2 begin mathsize 14px style left parenthesis x minus 1 right parenthesis end style to the power of size 14px 2 end fraction end cell size 14px equals cell size 14px 1 over size 14px 3 to the power of size 14px 8 end cell row cell size 14px 1 over size 14px left parenthesis size 14px x size 14px minus size 14px 1 size 14px right parenthesis to the power of size 14px 2 end cell size 14px equals cell size 14px 1 over size 14px 3 to the power of size 14px 8 end cell row cell size 14px 1 over size 14px left parenthesis size 14px x size 14px minus size 14px 1 size 14px right parenthesis to the power of size 14px 2 end cell size 14px equals cell size 14px 1 over begin mathsize 14px style left parenthesis 3 to the power of 4 right parenthesis end style to the power of size 14px 2 end cell end table$

Setelah sama, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell x minus 1 end cell equals cell 3 to the power of 4 end cell row cell x minus 1 end cell equals 81 row x equals 80 end table

Jadi, jawaban yang tepat adalah C.