If $$4x + \frac{1}{x} = 5,$$ $$x \ne 0{\text{,}}$$ then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$ is?
A. $$\frac{1}{2}$$
B. $$\frac{1}{3}$$
C. $$\frac{2}{3}$$
D. 3
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \frac{{5x}}{{4{x^2} + 10x + 1}} \cr & = \frac{5x}{{x\left( {4x + 10 + \frac{1}{x}} \right)}} \cr & = \frac{5}{{4x + \frac{1}{x} + 10}} \cr & = \frac{5}{{5 + 10}} \cr & = \frac{5}{{15}} \cr & = \frac{1}{3} \cr} $$This Question Belongs to Arithmetic Ability >> Algebra
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