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Popular >

2x^3-x^4<= 0

Solution

2 x^{3} - x^{4} \leq 0

Solution

x \leq 0 or x \geq 2

+1

Interval Notation

(- \infty, 0] \cup [2, \infty)

Solution steps

2 x^{3} - x^{4} \leq 0

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

(- x^{3} (x - 2)) (- 1) \geq 0 \cdot (- 1)

Simplify

x^{3} (x - 2) \geq 0

Identify the intervals

x \leq 0 or x \geq 2

Popular Examples

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\frac{a ^{3} - b ^{3}}{( a - b ) ^{2}} + \frac{3 ab}{b - a}

10 x^{2} + 13 x + 4 = 0

\frac{5}{6} x - \frac{1}{2} = 7

- 11 x + 5 = 38

Frequently Asked Questions (FAQ)

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