What is -x^2-9x-18>0 ?

The solution to -x^2-9x-18>0 is -6<x<-3

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-x^2-9x-18>0

- x^{2} - 9 x - 18 > 0

- 6 < x < - 3

Interval Notation

(- 6, - 3)

Solution steps

- x^{2} - 9 x - 18 > 0

Factor

- x^{2} - 9 x - 18 : - (x + 3) (x + 6)

- (x + 3) (x + 6) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 3) (x + 6)) (- 1) < 0 \cdot (- 1)

Simplify

(x + 3) (x + 6) < 0

Identify the intervals

- 6 < x < - 3

x^{2} + \frac{7}{2} x + \frac{3}{2} = 0

5 x^{2} + 8 x + 2 = 0

36 c^{2} - 121 d^{2}

5 (x - 3) = 4 (x - 6)

6 x^{2} - 19 x + 8