Algebramedium · Past Paper
The sum of a number and its reciprocal is 2. (This results in a linear form if simplified). Find the number.
A1
B2
C0
D-1
✓ Correct Answer: A — 1
x + 1/x = 2 -> (x^2 + 1)/x = 2 -> x^2 - 2x + 1 = 0 -> (x-1)^2 = 0 -> x = 1.
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