Problem: If one minus the reciprocal of (1−x)(1-x)(1−x) equals the reciprocal of (1−x)(1-x)(1−x), then xxx equals
Answer Choices:
A. −2-2−2
B. 111
C. 1/21 / 21/2
D. 222
E. 333 Solution:
1−11−x=11−x;1−x−1=11-\dfrac{1}{1-x}=\dfrac{1}{1-x} ; 1-x-1=11−1−x1=1−x1;1−x−1=1; x=−1x=-1x=−1.