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Popular >

-x^2-2x<=-3

Solution

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

Solution

x \leq - 3 or x \geq 1

+1

Solution steps

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

Rewrite in standard form

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

Factor

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

- (x - 1) (x + 3) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x + 3)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 1) (x + 3) \geq 0

Identify the intervals

x \leq - 3 or x \geq 1

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Frequently Asked Questions (FAQ)

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