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Popular >

(x^3-6x^2)/(x-2)>0

Solution

\frac{x ^{3} - 6 x ^{2}}{x - 2} > 0

Solution

x < 0 or 0 < x < 2 or x > 6

+1

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (6, \infty)

Solution steps

\frac{x ^{3} - 6 x ^{2}}{x - 2} > 0

Factor

\frac{x ^{3} - 6 x ^{2}}{x - 2} : \frac{x ^{2} ( x - 6 )}{x - 2}

\frac{x ^{2} ( x - 6 )}{x - 2} > 0

Identify the intervals

x < 0 or 0 < x < 2 or x > 6

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simplify 36^{1/4}*36^{1/4}simplify

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Frequently Asked Questions (FAQ)

What is (x^3-6x^2)/(x-2)>0 ?
The solution to (x^3-6x^2)/(x-2)>0 is x<0\lor 0<x<2\lor x>6