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Popular >

x^3<81x

Solution

x^{3} < 81 x

Solution

x < - 9 or 0 < x < 9

+1

Interval Notation

(- \infty, - 9) \cup (0, 9)

Solution steps

x^{3} < 81 x

Rewrite in standard form

x^{3} - 81 x < 0

Factor

x^{3} - 81 x : x (x + 9) (x - 9)

x (x + 9) (x - 9) < 0

Identify the intervals

x < - 9 or 0 < x < 9

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Frequently Asked Questions (FAQ)

What is x^3<81x ?
The solution to x^3<81x is x<-9\lor 0<x<9