SOLUTION: 39. What is the value of x if 1 minus the reciprocal of (1-x) equals the reciprocal of (1-x)? (MAO 1992)

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Question 651501: 39. What is the value of x if 1 minus the reciprocal of (1-x) equals the reciprocal of (1-x)? (MAO 1992)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the reciprocal of %281-x%29 is 1%2F%281-x%29
x if 1-+1%2F%281-x%29+=1+%2F%281-x%29 will be:
1-+1%2F%281-x%29+=1+%2F%281-x%29....both sides multiply by %281-x%29 to get a rid of denominator
1%281-x%29-+1%281-x%29%2F%281-x%29+=1%281-x%29+%2F%281-x%29

1%281-x%29-+1+=1
1-x+=1%2B1
1-x+=2
-x+=2-1
-x+=1
highlight%28x+=-1%29