Problem: The solution of 5x−1+x−1=2 is:
Answer Choices:
A. x=2,x=1
B. x=2/3
C. x=2
D. x=1
E. x=0
Solution:
5x−1=2−x−1, and 5x−1=4−4x−1+x−1.
∴4x−4=−4x−1,x−1=−x−1. Squaring again, we get
x2−2x+1=x−1,x2−3x+2=0,x=1 or 2
Since 2 does not satisfy the original equation, we have one root, x=1.