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Popular >

x-x^3>= 0

Solution

x - x^{3} \geq 0

Solution

x \leq - 1 or 0 \leq x \leq 1

+1

Solution steps

x - x^{3} \geq 0

Factor

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

- x (x + 1) (x - 1) \geq 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x + 1) (x - 1)) (- 1) \leq 0 \cdot (- 1)

Simplify

x (x + 1) (x - 1) \leq 0

Identify the intervals

x \leq - 1 or 0 \leq x \leq 1

Popular Examples

23*2.8*X^2-175*X-6*45=0

23 \cdot 2.8 \cdot X^{2} - 175 \cdot X - 6 \cdot 45 = 0

5 z + 2 = 2 z + 5

simplify (xy)^{-1}(x^{-1}+y^{-1})^{-1}simplify

(x y)^{- 1} (x^{- 1} + y^{- 1})^{- 1}

simplify 5/(2.001-2)simplify

\frac{5}{2.001 - 2}

∣ x - 1 ∣ > 7

Frequently Asked Questions (FAQ)

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