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

Answer

  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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