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Popular >

-x^2-2x+3<= 0

Solution

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

Solution

x \leq - 3 or x \geq 1

+1

Interval Notation

(- \infty, - 3] \cup [1, \infty)

Solution steps

- 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

Popular Examples

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log_{2}(2)x^2+log_{2}(9)=1

lo g_{2} (2) x^{2} + lo g_{2} (9) = 1

Frequently Asked Questions (FAQ)

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