If-x-x-2-x-1-1-4-Find-x-1-x-

Question Number 102927 by I want to learn more last updated on 11/Jul/20

If \frac{x}{x^{2} + x + 1} = \frac{1}{4}

Find x + \frac{1}{x}

Commented by I want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Dwaipayan Shikari last updated on 11/Jul/20

\frac{x}{x^{2} + x + 1} = \frac{1}{4} \Rightarrow \frac{1}{x + \frac{1}{x} + 1} = \frac{1}{4} \Rightarrow x + \frac{1}{x} + 1 = 4 \Rightarrow x + \frac{1}{x} = 3

Commented by I want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Rasheed.Sindhi last updated on 11/Jul/20

\frac{x}{x^{2} + x + 1} = \frac{1}{4}, x + \frac{1}{x} = ?

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

\frac{1}{x + \frac{1}{x} + 1} = \frac{1}{4}

x + \frac{1}{x} + 1 = 4

x + \frac{1}{x} = 3

Commented by I want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Rasheed.Sindhi last updated on 11/Jul/20

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

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

x + \frac{1}{x} + 1 = 4

x + \frac{1}{x} = 3

Commented by I want to learn more last updated on 11/Jul/20

Thanks sir