If $$x + \dfrac{1}{x} = \dfrac{5}{2}$$, what is the value of the fraction expression
$$ \dfrac{{5x}}{{7{x^2} - 3x + 7}}$$

Question

Uniteasy Admin · Accepted Answer

$$ \dfrac{{5x}}{{7{x^2} - 3x + 7}}$$
$$=\dfrac{5}{7x+\dfrac{7}{x}-3   }  $$
$$=\dfrac{5}{7\cdot \dfrac{5}{2}-3   }  $$
$$=\dfrac{10}{35-6}  $$
$$=\dfrac{10}{29}  $$
Therfore
D is the correct option

Multiple Choice Question (MCQ)

Answer