What is -100x(-25x^2+36)>0 ?

The solution to -100x(-25x^2+36)>0 is -6/5 6/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-100x(-25x^2+36)>0

- 100 x (- 25 x^{2} + 36) > 0

- \frac{6}{5} < x < 0 or x > \frac{6}{5}

Interval Notation

(- \frac{6}{5}, 0) \cup (\frac{6}{5}, \infty)

Decimal Notation

- 1.2 < x < 0 or x > 1.2

Solution steps

- 100 x (- 25 x^{2} + 36) > 0

Rewrite in standard form

25 x^{3} - 36 x > 0

Factor

25 x^{3} - 36 x : x (5 x + 6) (5 x - 6)

x (5 x + 6) (5 x - 6) > 0

Identify the intervals

- \frac{6}{5} < x < 0 or x > \frac{6}{5}

2 x^{3} - 24 x^{2} + 72 x

\frac{y}{2} - 2 = \frac{y}{3}

25

- 2 b - 6 + 3 b - 2

40 x^{2} + 10 x - 500 = 0

What is -100x(-25x^2+36)>0 ?
The solution to -100x(-25x^2+36)>0 is -6/5 <x<0\lor x> 6/5