8-2x-x^2<0

Solution

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

x < - 4 or x > 2

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 < - 4 or x > 2

- 2 x - 14 \leq 86

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\frac{1}{3} x - \frac{2}{3} = - 18

(\frac{( x ^{2} )}{2})^{2}

5 yz - 10 x y + 10 x y^{2} z