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Math Help - Quadratic question

  1. #1
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    Quadratic question

    Please refer to the attached question. Thanks.
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  2. #2
    MHF Contributor red_dog's Avatar
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    Let \frac{2x^2+5x+2}{2x^2-x+2}=y\Rightarrow (2-2y)x^2+(y+5)x+2-2y=0

    x\in\mathbf{R}\Rightarrow\Delta\geq 0

    \Delta=b^2-4ac=-15y^2+42y+9\geq 0

    y_1=-\frac{1}{5}, \ y_2=3\Rightarrow y\in\left[-\frac{1}{5},3\right]
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  3. #3
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    Quote Originally Posted by yeoky View Post
    Please refer to the attached question. Thanks.
    Please type questions in the main body of the post rather than using attachments.
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