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Popular >

x^4+x^3-x-1>0

Solution

x^{4} + x^{3} - x - 1 > 0

Solution

x < - 1 or x > 1

+1

Interval Notation

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

Solution steps

x^{4} + x^{3} - x - 1 > 0

Factor

x^{4} + x^{3} - x - 1 : (x + 1) (x - 1) (x^{2} + x + 1)

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

Identify the intervals

x < - 1 or x > 1

Popular Examples

(((x^2-3x+1)^3))/(((x-1)(x+2)))<= 0

\frac{( ( x ^{2} - 3 x + 1 ) ^{3} )}{( ( x - 1 ) ( x + 2 ) )} \leq 0

x^{4} - 2 x^{3} - x + 2 > 0

x^{2} - 3 x + 5 > 0

(x+4)^5*(x+3)^6*(x+2)^7*(x-1)^8<= 0

(x + 4)^{5} \cdot (x + 3)^{6} \cdot (x + 2)^{7} \cdot (x - 1)^{8} \leq 0

2 x < 3 - x^{2}

Frequently Asked Questions (FAQ)

What is x^4+x^3-x-1>0 ?
The solution to x^4+x^3-x-1>0 is x<-1\lor x>1