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Solmyr

Simplify 2x + 10 / x^2 + 4x – 5 X + 5 / x – 1 2 / x – 1 2(x + 5) / x – 1 2 / x

  • one year ago
  • one year ago

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  1. hartnn
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    can you factor x^2 + 4x – 5 ?

    • one year ago
  2. Solmyr
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    forgot

    • one year ago
  3. hartnn
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    what are the 2 numbers with sum =4 and product = -5 ?

    • one year ago
  4. Solmyr
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    4x and -5

    • one year ago
  5. hartnn
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    you mean 4 and -5 ? not really...

    • one year ago
  6. Solmyr
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    ok

    • one year ago
  7. hartnn
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    try again ?

    • one year ago
  8. Solmyr
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    2 and 10

    • one year ago
  9. hartnn
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    2+10 =4 ?

    • one year ago
  10. hartnn
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    and one of the number will be negative.

    • one year ago
  11. Solmyr
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    oh 2x and x^2 = 4

    • one year ago
  12. Solmyr
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    10 - 5 = 5

    • one year ago
  13. hartnn
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    what about +5 and -1 ?

    • one year ago
  14. Solmyr
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    4

    • one year ago
  15. hartnn
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    will those give sum =4 and product = -5 ?

    • one year ago
  16. Solmyr
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    yes

    • one year ago
  17. hartnn
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    so, we split the middle term 4x = 5x-x

    • one year ago
  18. Solmyr
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    ok

    • one year ago
  19. hartnn
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    x^2+5x-x-5 =0 x(x+5)-1 (x+5) =0 factor out x+5 from that, what u get ?

    • one year ago
  20. Solmyr
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    ok so im gonna have (x + 5) and also -1

    • one year ago
  21. hartnn
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    and there was +x in the beginning also, right ? so , you have (x-1)(x+5) as your denominator, ok ? what about numerator 2x+10 factor out 2, what u get ?

    • one year ago
  22. Solmyr
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    12x

    • one year ago
  23. hartnn
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    how ?

    • one year ago
  24. Solmyr
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    well adding them both together

    • one year ago
  25. hartnn
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    you can't add 2x to 10 2x has 'x' in it, its variable, 10 is a constant

    • one year ago
  26. Solmyr
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    oh srry

    • one year ago
  27. Solmyr
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    im not sure then

    • one year ago
  28. hartnn
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    2*x+10 = 2*x+2*5 2 is common, factoring it out, 2 (x+5) got this ?

    • one year ago
  29. Solmyr
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    yup

    • one year ago
  30. hartnn
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    numerator = 2 (x+5) denominator = (x-1)(x+5) what gets cancelled out ?

    • one year ago
  31. Solmyr
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    x + 5

    • one year ago
  32. hartnn
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    what remains ?

    • one year ago
  33. Solmyr
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    2 / x - 1

    • one year ago
  34. hartnn
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    thats your answer :)

    • one year ago
  35. Solmyr
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    thank you for all your help

    • one year ago
  36. hartnn
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    welcome ^_^

    • one year ago
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