what is the value of (x-1)/(x-2) + (x-2)/(x-1) = 2 ?
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(x-1)/(x-2) + (x-2)/(x-1) = 2
→ ((x-1)² + (x-2)²)/(x²-3x+2) = 2
→ x² + 1 - 2x + x² + 4 - 4x = 2x² - 6x + 4
→ 2x² + 5 - 6x = 2x² - 6x + 4
Since both the variables cancel out each other, thus, there is no value of x for which the given equation is satisfied.
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