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anonymous

  • 5 years ago

[1/1+6] + [3/x+4] = -2 / x^2+10x+24

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  1. anonymous
    • 5 years ago
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    kathy, something is missing, is it [1/1+6x]?

  2. anonymous
    • 5 years ago
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    sorry , 1 / x+6

  3. anonymous
    • 5 years ago
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    ok :)

  4. anonymous
    • 5 years ago
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    Again find what are the denominator for each of the fractions.

  5. anonymous
    • 5 years ago
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    on the left hand side, you have x+6 and x+4. What do you have on the right side?

  6. anonymous
    • 5 years ago
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    x^2+ 10 + 24 = (x+6)(x+4)

  7. anonymous
    • 5 years ago
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    but how do i put the other together to make the same

  8. anonymous
    • 5 years ago
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    great kathy. So we only have z+6 and z+4 in the denominator. On the right side, we don't have to do anything. For the left side, make each fractions to have (x+6)(x+4) as denominator. Then compare the numerator

  9. anonymous
    • 5 years ago
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    oops...typo..x+6 and x+4

  10. anonymous
    • 5 years ago
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    [1/x+6] + [3/x+4] = -2 / x^2+10x+24 [(x+4)/(x+6)(x+4)] + [3(x+6)/(x+4)(x+6)] = -2 /(x+6)(x+4)

  11. anonymous
    • 5 years ago
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    hmmm i dont get it, we dont have to make the left side denominator the same as the right ?

  12. anonymous
    • 5 years ago
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    oh i see, but what do i do after?

  13. anonymous
    • 5 years ago
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    compare the numerator, because now you already have the denominator to be the same. The idea is just the same when we deal with number. I hope the following illustration with numbers can help you: 1/2 + 1/4 = y/24 12/24 + 6/24 = y/24 -> 12 + 6 = y

  14. anonymous
    • 5 years ago
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    oh so now i just add : x+4 +3(x+6) = -2

  15. anonymous
    • 5 years ago
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    / (x+6)(x+4)

  16. anonymous
    • 5 years ago
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    yup, you are right kathy. well done!

  17. anonymous
    • 5 years ago
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    [x+4 +3(x+6)]/(x+6)(x+4) = -2/(x+6)(x+4) by comparing the numerator, you get x+4 +3(x+6) = -2

  18. anonymous
    • 5 years ago
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    4x+22=-2/ (x+6)(x+4)

  19. anonymous
    • 5 years ago
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    no need the / (x+6)(x+4)

  20. anonymous
    • 5 years ago
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    so it cancels out ?

  21. anonymous
    • 5 years ago
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    x=5

  22. anonymous
    • 5 years ago
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    but what happens to the denominator

  23. anonymous
    • 5 years ago
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    I wont say cancel out, I would rather say for the left and right to be equal and since the denominators are same, then the numerator must be the same

  24. anonymous
    • 5 years ago
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    [x+4 +3(x+6)]/(x+6)(x+4) = -2/(x+6)(x+4) by comparing the numerator, you get x+4 +3(x+6) = -2

  25. anonymous
    • 5 years ago
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    which equals to : 4x + 22 = -2 4x = 20 x=5

  26. anonymous
    • 5 years ago
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    4x + 22 = -2 4x = -24 x = -6

  27. anonymous
    • 5 years ago
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    my mistake. so after that what would happen to the denominator so we can find x

  28. anonymous
    • 5 years ago
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    well, the original equation is [1/x+6] + [3/x+4] = -2 / x^2+10x+24 from this we know that our solution x cannot be -6 or -4. So as a conclusion, i will say there is no solution for this problem, even though we solve to get x = -6

  29. anonymous
    • 5 years ago
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    Does it make sense to you?

  30. anonymous
    • 5 years ago
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    true, so it has no answer ?

  31. anonymous
    • 5 years ago
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    ya, there is no answer for this problem

  32. anonymous
    • 5 years ago
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    1/2t + 6/t =1 1/2t + 12/2t =13/2t 13/2t = 1 divide both by 2 to leave x alone & its 13/2

  33. anonymous
    • 5 years ago
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    just doube checking this other problem

  34. anonymous
    • 5 years ago
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    or is it 7/2

  35. anonymous
    • 5 years ago
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    are you still there?

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