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Popular >

x^3+5x^2-x-5>= 0

Solution

x^{3} + 5 x^{2} - x - 5 \geq 0

Solution

- 5 \leq x \leq - 1 or x \geq 1

+1

Solution steps

x^{3} + 5 x^{2} - x - 5 \geq 0

Factor

x^{3} + 5 x^{2} - x - 5 : (x + 5) (x + 1) (x - 1)

(x + 5) (x + 1) (x - 1) \geq 0

Identify the intervals

- 5 \leq x \leq - 1 or x \geq 1

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Frequently Asked Questions (FAQ)

What is x^3+5x^2-x-5>= 0 ?
The solution to x^3+5x^2-x-5>= 0 is -5<= x<=-1\lor x>= 1