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85295james

  • 2 years ago

Simplify the rational expression. State any excluded values.

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  1. 85295james
    • 2 years ago
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    x-2/x^2+3x-10

  2. mathslover
    • 2 years ago
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    is this the question? : \[\large{\frac{x-2}{x^2+3x-10}}\] ?

  3. 85295james
    • 2 years ago
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    yes that is it

  4. KingGeorge
    • 2 years ago
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    Can you factor the denominator?

  5. 85295james
    • 2 years ago
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    what do you mean ??

  6. 85295james
    • 2 years ago
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    x=-5 or x=2

  7. KingGeorge
    • 2 years ago
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    Right. So that means \(x^2+3x-10=(x+5)(x-2)\). That means your rational expression becomes\[\frac{(x-2)}{(x+5)(x-2)}\]Before we go farther, can you tell me what the excluded values will be?

  8. 85295james
    • 2 years ago
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    i dont know :(

  9. KingGeorge
    • 2 years ago
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    The excluded values are the zeroes of the denominator. So you get \(x=-5,2\). Now I'm sure that you can simplify it.

  10. 85295james
    • 2 years ago
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    so x=0

  11. KingGeorge
    • 2 years ago
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    You have excluded values when your denominator is 0. Also, I've got to go now. If you have questions, I'll be back on later tonight, so I can answer your questions then.

  12. 85295james
    • 2 years ago
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    so x2

  13. KingGeorge
    • 2 years ago
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    Do you mean \(x^2\)?

  14. 85295james
    • 2 years ago
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    no

  15. KingGeorge
    • 2 years ago
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    x=2?

  16. KingGeorge
    • 2 years ago
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    I'm a bit confused. Are you stuck with the simplification or the excluded values?

  17. 85295james
    • 2 years ago
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    sorry one secc

  18. 85295james
    • 2 years ago
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    |dw:1346987271707:dw|

  19. 85295james
    • 2 years ago
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    i dont think it is (A) now

  20. 85295james
    • 2 years ago
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    (C)????

  21. KingGeorge
    • 2 years ago
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    It is not C. Look back at the equation. \[\frac{(x-2)}{(x+5)(x-2)}\]How can you simplify this?

  22. 85295james
    • 2 years ago
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    no

  23. KingGeorge
    • 2 years ago
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    \[\frac{\cancel{(x-2)}}{(x+5)\cancel{(x-2)}}\]What do you get?

  24. 85295james
    • 2 years ago
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    (B)

  25. KingGeorge
    • 2 years ago
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    no...You should get \[\frac{1}{(x+5)}\]

  26. 85295james
    • 2 years ago
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    o lol (D)

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