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

#### Multiple Choice Question (MCQ)

If x + \dfrac{1}{x} = \dfrac{5}{2}, what is the value of the fraction expression

\dfrac{{5x}}{{7{x^2} - 3x + 7}}

1. ×

\dfrac{3}{7}

2. ×

\dfrac{5}{12}

3. ×

\dfrac{3}{14}

4. \dfrac{10}{29}

Collected in the board: Calculate algebraic expressions

Steven Zheng posted 4 hours ago

1. \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

Steven Zheng posted 4 hours ago

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