Algebramedium · Past Paper
The sum of a number and its reciprocal is 2. The quadratic equation is:
Ax^2 - 2x + 1 = 0
Bx^2 + 2x + 1 = 0
Cx^2 - x + 2 = 0
Dx^2 + x - 2 = 0
✓ Correct Answer: A — x^2 - 2x + 1 = 0
x + 1/x = 2 => (x^2 + 1)/x = 2 => x^2 - 2x + 1 = 0.
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