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anonymous

  • one year ago

does anyone understand this?

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  1. anonymous
    • one year ago
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  2. Vocaloid
    • one year ago
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    the student's solution is not the best way to go about solving the problem instead of multiplying both sides by (2x^2+x-15)(2x-5)(x+3), which is messy to work with, he should have recognized that, on the left side, he can factor the denominator into (2x-5)(x+3), and on the right side, he can rewrite both fractions such that their denominators are (2x-5)*(x+3).

  3. amistre64
    • one year ago
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    the "best" thing for the student to do, is to do what they feel the most comfortable with.

  4. anonymous
    • one year ago
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    ...

  5. mathstudent55
    • one year ago
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    In order to solve a problem like this, one method is to multiply both sides by the LCD of all the fractions. Since the left denominator factors into (2x - 5)(x + 3), the LCD of all fractions is simply (2x - 5)(x + 3). All he needed to do is to multiply by the LCD instead of the longer expression he used. By doing what he did, he made the problem longer to solve than it had to be.

  6. amistre64
    • one year ago
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    but, if you dont know what the LCD is to start with, any CD will work ...

  7. anonymous
    • one year ago
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    thanks you guys:)) so helpful

  8. mathstudent55
    • one year ago
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    You're welcome.

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spraguer (Moderator)
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