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Popular >

x^3+1>x^2+x

Solution

x^{3} + 1 > x^{2} + x

Solution

- 1 < x < 1 or x > 1

+1

Interval Notation

(- 1, 1) \cup (1, \infty)

Solution steps

x^{3} + 1 > x^{2} + x

Rewrite in standard form

x^{3} + 1 - x - x^{2} > 0

Factor

x^{3} + 1 - x - x^{2} : (x - 1)^{2} (x + 1)

(x - 1)^{2} (x + 1) > 0

Identify the intervals

- 1 < x < 1 or x > 1

Popular Examples

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Frequently Asked Questions (FAQ)

What is x^3+1>x^2+x ?
The solution to x^3+1>x^2+x is -1<x<1\lor x>1