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sleipnir234 Group Title

What does x equal if 5/x=9/2x

  • one year ago
  • one year ago

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  1. sampatho2 Group Title
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    no value of x satisfies that. because if you rearrange it you would get x=10x/5 as you know no number can be defined like that unless it is 0

    • one year ago
  2. AravindG Group Title
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    the x terms on both sides gets cancelled leaving away no solution

    • one year ago
  3. sleipnir234 Group Title
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    That is the solution-- but I am curious why can't you make it x=9/10x? and then go from there 10x^2=9 x^2=9/10 x=3/sqrt10

    • one year ago
  4. AravindG Group Title
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    5/x=9/2x multiply both sides by x 5=9/2???? no solution

    • one year ago
  5. sleipnir234 Group Title
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    Why can't you multiply both sides by 1/5 instead of x?

    • one year ago
  6. shubhamsrg Group Title
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    an unreal solution would be x=infinity infact 2 unreal solutions -> inf and -inf

    • one year ago
  7. hba Group Title
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    There would be infinite solutions ? @shubhamsrg or no solutions ?

    • one year ago
  8. hba Group Title
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    I guess they are infinite solutions.

    • one year ago
  9. saifoo.khan Group Title
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    No sol.

    • one year ago
  10. sleipnir234 Group Title
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    I understand the answer is no solution--- what I am asking is why can't you divide by 5 to get x by itself.

    • one year ago
  11. shubhamsrg Group Title
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    2 solns, 2 unreal solutions, or should i say 2 theoretical solutions.

    • one year ago
  12. hba Group Title
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    I guess we should call it infinite solutions.

    • one year ago
  13. saifoo.khan Group Title
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    no @hba

    • one year ago
  14. shubhamsrg Group Title
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    hmm ? I'd still say 2 solutions which are inf and -inf , but both are theoretical .

    • one year ago
  15. hba Group Title
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    @saifoo.khan Explain. I remember hero telling me that there would be infinite solutions. I also believed there would be no solution.

    • one year ago
  16. sleipnir234 Group Title
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    Will one of you brilliant people just explain what algebraic rule I am missing/perverting that is making me not see the no solution. Why can't you multiply by 1/5?

    • one year ago
  17. hba Group Title
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    @sleipnir234 Ok Lets follow you, \[\huge\frac{ 5 }{ x }=\frac{ 9 }{ 2x }\] Now multiply and divide by 1/5. Let us see what you get.

    • one year ago
  18. hba Group Title
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    Now multiply both sides by 1/5 *

    • one year ago
  19. hba Group Title
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    \[\frac{ 5 }{ x } \times \frac{ 1 }{ 5 }=\frac{ 9 }{ 2x } \times \frac{ 1 }{ 5 }\]

    • one year ago
  20. sleipnir234 Group Title
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    x=9/10x

    • one year ago
  21. hartnn Group Title
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    if you multiply both sides by 1/5, you get 1/x =9/(10x) and not x=9/10x

    • one year ago
  22. hartnn Group Title
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    if there is an identity after cancelling 'x', then there are infinite solutions @hba, here we don't get an identity, ,we get 1=9/10 which is NEVER tru , so, no solution. if we got something like 1=9/9, then we would have infinite solutions

    • one year ago
  23. hba Group Title
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    @hartnn Thanks for explaining :)

    • one year ago
  24. sleipnir234 Group Title
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    ohhhhhhhhh Got it. Thank you so much. I'm sorry. It is late. And I am an idiot. Thank you all so much for being patient!!

    • one year ago
  25. shubhamsrg Group Title
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    There are, 2 solutions! 2 theoretical solutions, one should not ignore that.

    • one year ago
  26. hba Group Title
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    Welcome :)

    • one year ago
  27. hartnn Group Title
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    silly mistakes usually happen,no problem, welcome ^_^

    • one year ago
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