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Popular >

x^3+8x^2-x>= 8

Solution

x^{3} + 8 x^{2} - x \geq 8

Solution

- 8 \leq x \leq - 1 or x \geq 1

+1

Interval Notation

[- 8, - 1] \cup [1, \infty)

Solution steps

x^{3} + 8 x^{2} - x \geq 8

Rewrite in standard form

x^{3} + 8 x^{2} - x - 8 \geq 0

Factor

x^{3} + 8 x^{2} - x - 8 : (x + 8) (x + 1) (x - 1)

(x + 8) (x + 1) (x - 1) \geq 0

Identify the intervals

- 8 \leq x \leq - 1 or x \geq 1

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Frequently Asked Questions (FAQ)

What is x^3+8x^2-x>= 8 ?
The solution to x^3+8x^2-x>= 8 is -8<= x<=-1\lor x>= 1