Multiple choice general knowledge math & puzzles

The equation 1/a + 1/|a| = 0 has

  1. an infinite number of solutions

  2. no solutions

  3. 2 solutions only

  4. 3 solutions only
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A Correct answer
Explanation

The equation $1/a + 1/|a| = 0$ implies $1/|a| = -1/a$. This is true for all negative values of $a$. If $a < 0$, then $|a| = -a$, so $1/(-a) = -1/a$, which is an identity. Thus, there are infinite solutions (all $a < 0$).

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