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Popular >

x^3+1<x^2+x

Solution

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

Solution

x < - 1

+1

Interval Notation

(- \infty, - 1)

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

x < - 1

Popular Examples

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\frac{16 ( x ^{3} y ) ^{2}}{2 ( x y ^{0} ) ^{4}}

y^{2} - 9 y - 10 = 0

x^2+5x+(5/2)^2=0

x^{2} + 5 x + (\frac{5}{2})^{2} = 0

factor vp+12v+8p+96 factor

v p + 12 v + 8 p + 96

simplify 3/2 6 simplify

\frac{3}{2} 6

Frequently Asked Questions (FAQ)

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