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Popular >

8+2x-x^2<0

Solution

8 + 2 x - x^{2} < 0

Solution

x < - 2 or x > 4

+1

Interval Notation

(- \infty, - 2) \cup (4, \infty)

Solution steps

8 + 2 x - x^{2} < 0

Factor

8 + 2 x - x^{2} : - (x + 2) (x - 4)

- (x + 2) (x - 4) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 2) (x - 4)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 2) (x - 4) > 0

Identify the intervals

x < - 2 or x > 4

Popular Examples

x^{2} - 4 x - 117 = 0

- 2 x^{2} + 5 x - 2 = 0

simplify (-3g^{-2}hk^{-2})/(-6h^0)simplify

\frac{- 3 g ^{- 2} h k ^{- 2}}{- 6 h ^{0}}

factor 3^{n+2}+3^n factor

3^{n + 2} + 3^{n}

(2x+1)(x+1)=5(x+1)

(2 x + 1) (x + 1) = 5 (x + 1)

Frequently Asked Questions (FAQ)

What is 8+2x-x^2<0 ?
The solution to 8+2x-x^2<0 is x<-2\lor x>4