4x+1x=5,4x+1x=5,4x + \frac{1}{x} = 5, x≠0," role="presentation">x≠0,x≠0,x \ne 0{\text{,}} then the value of 5x4x2+10x+1" role="presentation">5x4x2+10x+15x4x2+10x+1\frac{{5x}}{{4{x^2} + 10x + 1}} is?" /> 4x+1x=5,4x+1x=5,4x + \frac{1}{x} = 5, x≠0," role="presentation">x≠0,x≠0,x \ne 0{\text{,}} then the value of 5x4x2+10x+1" role="presentation">5x4x2+10x+15x4x2+10x+1\frac{{5x}}{{4{x^2} + 10x + 1}} is?" /> 4x+1x=5,4x+1x=5,4x + \frac{1}{x} = 5, x≠0," role="presentation">x≠0,x≠0,x \ne 0{\text{,}} then the value of 5x4x2+10x+1" role="presentation">5x4x2+10x+15x4x2+10x+1\frac{{5x}}{{4{x^2} + 10x + 1}} is?" />

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If $4 x + \frac{1}{x} = 5,$ $4x + \frac{1}{x} = 5,$ $x \neq 0,$ $x \ne 0{\text{,}}$ then the value of $\frac{5 x}{4 x^{2} + 10 x + 1}$ $\frac{{5x}}{{4{x^2} + 10x + 1}}$ is?

1 $\frac{1}{2}$ $\frac{1}{2}$
2 $\frac{1}{3}$ $\frac{1}{3}$
3 $\frac{2}{3}$ $\frac{2}{3}$
43

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{5 x}{4 x^{2} + 10 x + 1} \\ = \frac{5}{x (4 x + 10 + \frac{1}{x})} \\ = \frac{5}{4 x + \frac{1}{x} + 10} \\ = \frac{5}{5 + 10} \\ = \frac{5}{15} \\ = \frac{1}{3} \end{aligned}

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x \neq 0,

$x \ne 0{\text{,}}$ then the value of

\frac{5 x}{4 x^{2} + 10 x + 1}

$\frac{{5x}}{{4{x^2} + 10x + 1}}$ is?", "text": "If

4 x + \frac{1}{x} = 5,

$4x + \frac{1}{x} = 5,$

x \neq 0,

$x \ne 0{\text{,}}$ then the value of

\frac{5 x}{4 x^{2} + 10 x + 1}

$\frac{{5x}}{{4{x^2} + 10x + 1}}$ is?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{5 x}{4 x^{2} + 10 x + 1} \\ = \frac{5}{x (4 x + 10 + \frac{1}{x})} \\ = \frac{5}{4 x + \frac{1}{x} + 10} \\ = \frac{5}{5 + 10} \\ = \frac{5}{15} \\ = \frac{1}{3} \end{aligned}

$\eqalign{ & \frac{{5x}}{{4{x^2} + 10x + 1}} \cr & = \frac{5}{{x\left( {4x + 10 + \frac{1}{x}} \right)}} \cr & = \frac{5}{{4x + \frac{1}{x} + 10}} \cr & = \frac{5}{{5 + 10}} \cr & = \frac{5}{{15}} \cr & = \frac{1}{3} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: