Multiple choice

The roots of quadratic equation $\dfrac{x}{k} = \dfrac{k}{x} $ are ...........

  1. $k, -k$
  2. $-k, -k$
  3. $k, k$
  4. $k^2, - k^2$
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A Correct answer
Explanation

x/k = k/x => x^2 = k^2 => x = k or x = -k.

AI explanation

Cross-multiply the given equation x/k = k/x to obtain x^2 = k^2. Taking the square root of both sides gives x = k or x = -k. Thus, the roots are k and -k.

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