# How do you solve #(x-6)^2/x<0#?

even power so sign will not change

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To solve the inequality (\frac{(x - 6)^2}{x} < 0), we first find the critical points by setting the numerator and denominator equal to zero separately. This gives us (x - 6 = 0) and (x = 0). Next, we create a sign chart with these critical points and test intervals between them to determine where the expression is positive or negative. After analyzing the intervals, we find that the solution to the inequality is (x \in (-\infty, 0) \cup (0, 6)).

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