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Popular >

-x^2+x+2>0

Solution

- x^{2} + x + 2 > 0

Solution

- 1 < x < 2

+1

Interval Notation

(- 1, 2)

Solution steps

- x^{2} + x + 2 > 0

Factor

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

- (x + 1) (x - 2) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 1) (x - 2)) (- 1) < 0 \cdot (- 1)

Simplify

(x + 1) (x - 2) < 0

Identify the intervals

- 1 < x < 2

Popular Examples

x^{2} + x = 4

2 x^{2} = 64

simplify (2^4)/(2^4)simplify

\frac{2 ^{4}}{2 ^{4}}

z^{2} - 27 z + 26 = - 84

- 1 = 3 + \frac{x}{- 21}

Frequently Asked Questions (FAQ)

What is -x^2+x+2>0 ?
The solution to -x^2+x+2>0 is -1<x<2