What is the answer to 2x^{-1}-x^{-1/2}=6 ?

The answer to 2x^{-1}-x^{-1/2}=6 is x= 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x^{-1}-x^{-1/2}=6

2 x^{- 1} - x^{- \frac{1}{2}} = 6

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

2 x^{- 1} - x^{- \frac{1}{2}} = 6

Expand

2 x^{- 1} - x^{- \frac{1}{2}} : \frac{2}{x} - \frac{1}{x ^{\frac{1}{2}}}

\frac{2}{x} - \frac{1}{x ^{\frac{1}{2}}} = 6

Remove square roots

\frac{1}{x} = 36 - \frac{24}{x} + \frac{4}{x ^{2}}

Solve

\frac{1}{x} = 36 - \frac{24}{x} + \frac{4}{x ^{2}} : x = \frac{4}{9}, x = \frac{1}{4}

x = \frac{4}{9}, x = \frac{1}{4}

Verify Solutions:

x = \frac{4}{9}

False

, x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

4 x - 3 = 0

2 x = 3 x - 3

135 π = 9 π 9^{2} + x^{2}

4 x - 1 = 3

\frac{2 x}{x ^{2} + 4} - 1 = 0

What is the answer to 2x^{-1}-x^{-1/2}=6 ?
The answer to 2x^{-1}-x^{-1/2}=6 is x= 1/4
Solve for x: 2x^{-1}-x^{-1/2}=6
The solution is x= 1/4