en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2/x >-(5x)/(x^2+6)

Solution

- \frac{2}{x} > - \frac{5 x}{x ^{2} + 6}

Solution

- 2 < x < 0 or x > 2

+1

Solution steps

- \frac{2}{x} > - \frac{5 x}{x ^{2} + 6}

Rewrite in standard form

\frac{3 x ^{2} - 12}{x ( x ^{2} + 6 )} > 0

Factor

\frac{3 x ^{2} - 12}{x ( x ^{2} + 6 )} : \frac{3 ( x + 2 ) ( x - 2 )}{x ( x ^{2} + 6 )}

\frac{3 ( x + 2 ) ( x - 2 )}{x ( x ^{2} + 6 )} > 0

Divide both sides by

3

\frac{\frac{3 ( x + 2 ) ( x - 2 )}{x ( x ^{2} + 6 )}}{3} > \frac{0}{3}

Simplify

\frac{( x + 2 ) ( x - 2 )}{x ( x ^{2} + 6 )} > 0

Identify the intervals

- 2 < x < 0 or x > 2

Popular Examples

3 x^{2} - 100 = 500

factor r^3-25r^2-9r+225 factor

r^{3} - 25 r^{2} - 9 r + 225

(3x)/2+x-2= 1/4+2x

\frac{3 x}{2} + x - 2 = \frac{1}{4} + 2 x

simplify (n+3)/(3n^2-10n+8)+3 simplify

\frac{n + 3}{3 n ^{2} - 10 n + 8} + 3

1/2 (10x-2)+3x=-25

\frac{1}{2} (10 x - 2) + 3 x = - 25

Frequently Asked Questions (FAQ)

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