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Popular >

x^4<x^3+6x^2

Solution

x^{4} < x^{3} + 6 x^{2}

Solution

- 2 < x < 0 or 0 < x < 3

+1

Solution steps

x^{4} < x^{3} + 6 x^{2}

Rewrite in standard form

x^{4} - 6 x^{2} - x^{3} < 0

Factor

x^{4} - 6 x^{2} - x^{3} : x^{2} (x + 2) (x - 3)

x^{2} (x + 2) (x - 3) < 0

Identify the intervals

- 2 < x < 0 or 0 < x < 3

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Frequently Asked Questions (FAQ)

What is x^4<x^3+6x^2 ?
The solution to x^4<x^3+6x^2 is -2<x<0\lor 0<x<3