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anonymous

  • one year ago

Simplify and select the answer with the appropriate restrictions for the variables

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  1. anonymous
    • one year ago
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    |dw:1433096866824:dw|

  2. mathstudent55
    • one year ago
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    Factor the numerator and denominator.

  3. anonymous
    • one year ago
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    @Michele_Laino

  4. anonymous
    • one year ago
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    |dw:1433096969256:dw|

  5. anonymous
    • one year ago
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    @Michele_Laino

  6. anonymous
    • one year ago
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    what do you think? @Michele_Laino

  7. Michele_Laino
    • one year ago
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    please, solve the subsequent quadratic equation, first: \[{x^2} - 2x - 8 = 0\]

  8. anonymous
    • one year ago
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    how do you do that? @Michele_Laino

  9. welshfella
    • one year ago
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    this will factor to the form (x + a)(x + b) where ab = -8 and a + b = -2 can you find what a and b will be?

  10. anonymous
    • one year ago
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    8 and 2? since, (8+-8)(2+-2)=0

  11. Michele_Laino
    • one year ago
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    alternatively, you can apply the standard formula, so you have to compute this: \[x = \frac{{2 \pm \sqrt {{2^2} - 4 \times 1 \times \left( { - 8} \right)} }}{2}\]

  12. welshfella
    • one year ago
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    no that won't fit factoring -8 will help:- -8 = -4 * 2 or -8 = 4 * -2 which ons will give you -2 when added?

  13. anonymous
    • one year ago
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    -2 and 1?

  14. anonymous
    • one year ago
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    @Michele_Laino

  15. Michele_Laino
    • one year ago
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    I got: 4, and -2

  16. anonymous
    • one year ago
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    oh ok

  17. Michele_Laino
    • one year ago
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    so we can write this factorization: \[{x^2} - 2x - 8 = \left( {x - 4} \right)\left( {x + 2} \right)\]

  18. anonymous
    • one year ago
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    i got d?

  19. Michele_Laino
    • one year ago
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    substituting into your expression, we get: \[\frac{{3{x^2} + 6x}}{{{x^2} - 2x - 8}} = \frac{{3x\left( {x + 2} \right)}}{{\left( {x - 4} \right)\left( {x + 2} \right)}}\]

  20. anonymous
    • one year ago
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    nvm bc it has to match up to -4 and 2

  21. Michele_Laino
    • one year ago
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    that's right, it is option D

  22. anonymous
    • one year ago
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    wait so is it -4 and 2 or 4 and -2

  23. welshfella
    • one year ago
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    -4 and 2 - in order to get the -2x

  24. anonymous
    • one year ago
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    i will tag you in my next question!!:D

  25. mathstudent55
    • one year ago
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    |dw:1433100747460:dw|

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