The equation x-2/(x-1)=1-2/(x-1) has
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no root
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one root
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two equal root
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infinitely many roots
Reveal answer
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A
Correct answer
Explanation
The equation is x - 2/(x-1) = 1 - 2/(x-1). Adding 2/(x-1) to both sides gives x = 1. However, substituting x = 1 into the original equation results in division by zero, which is undefined. Thus, there is no valid root.
AI explanation
Adding 2 divided by the quantity x minus 1 to both sides of the equation gives x minus 2 plus 2 divided by the quantity x minus 1 equals 1, which simplifies to x divided by the quantity x minus 1 equals 1. Multiplying both sides by the quantity x minus 1 gives x equals x minus 1, or 0 equals negative 1. Because this is a contradiction, the equation has no root.