Multiple choice

In the equation $\dfrac{x(x-1) - (m + 1)}{(x - 1)(m - 1)} = \dfrac{x}{m}$ the roots are equal when

  1. $m = 1$
  2. $m = -1/2$
  3. $m = 0$
  4. $m = -1$
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B Correct answer
Explanation

The equation simplifies to a quadratic in x. For the roots to be equal, the discriminant of the resulting quadratic equation must be zero. Solving for m, we find m = -1/2.

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