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Solmyr

  • 3 years ago

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

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  1. hartnn
    • 3 years ago
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    can you factor x^2 + 4x – 5 ?

  2. Solmyr
    • 3 years ago
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    forgot

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

  4. Solmyr
    • 3 years ago
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    4x and -5

  5. hartnn
    • 3 years ago
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    you mean 4 and -5 ? not really...

  6. Solmyr
    • 3 years ago
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    ok

  7. hartnn
    • 3 years ago
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    try again ?

  8. Solmyr
    • 3 years ago
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    2 and 10

  9. hartnn
    • 3 years ago
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    2+10 =4 ?

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

  11. Solmyr
    • 3 years ago
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    oh 2x and x^2 = 4

  12. Solmyr
    • 3 years ago
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    10 - 5 = 5

  13. hartnn
    • 3 years ago
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    what about +5 and -1 ?

  14. Solmyr
    • 3 years ago
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    4

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

  16. Solmyr
    • 3 years ago
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    yes

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

  18. Solmyr
    • 3 years ago
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    ok

  19. hartnn
    • 3 years ago
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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 ?

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

  21. hartnn
    • 3 years ago
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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 ?

  22. Solmyr
    • 3 years ago
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    12x

  23. hartnn
    • 3 years ago
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    how ?

  24. Solmyr
    • 3 years ago
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    well adding them both together

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

  26. Solmyr
    • 3 years ago
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    oh srry

  27. Solmyr
    • 3 years ago
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    im not sure then

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

  29. Solmyr
    • 3 years ago
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    yup

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

  31. Solmyr
    • 3 years ago
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    x + 5

  32. hartnn
    • 3 years ago
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    what remains ?

  33. Solmyr
    • 3 years ago
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    2 / x - 1

  34. hartnn
    • 3 years ago
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    thats your answer :)

  35. Solmyr
    • 3 years ago
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    thank you for all your help

  36. hartnn
    • 3 years ago
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    welcome ^_^

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