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sleipnir234

  • 3 years ago

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

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  1. sampatho2
    • 3 years ago
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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

  2. AravindG
    • 3 years ago
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    the x terms on both sides gets cancelled leaving away no solution

  3. sleipnir234
    • 3 years ago
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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

  4. AravindG
    • 3 years ago
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    5/x=9/2x multiply both sides by x 5=9/2???? no solution

  5. sleipnir234
    • 3 years ago
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    Why can't you multiply both sides by 1/5 instead of x?

  6. shubhamsrg
    • 3 years ago
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    an unreal solution would be x=infinity infact 2 unreal solutions -> inf and -inf

  7. hba
    • 3 years ago
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    There would be infinite solutions ? @shubhamsrg or no solutions ?

  8. hba
    • 3 years ago
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    I guess they are infinite solutions.

  9. saifoo.khan
    • 3 years ago
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    No sol.

  10. sleipnir234
    • 3 years ago
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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.

  11. shubhamsrg
    • 3 years ago
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    2 solns, 2 unreal solutions, or should i say 2 theoretical solutions.

  12. hba
    • 3 years ago
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    I guess we should call it infinite solutions.

  13. saifoo.khan
    • 3 years ago
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    no @hba

  14. shubhamsrg
    • 3 years ago
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    hmm ? I'd still say 2 solutions which are inf and -inf , but both are theoretical .

  15. hba
    • 3 years ago
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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.

  16. sleipnir234
    • 3 years ago
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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?

  17. hba
    • 3 years ago
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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.

  18. hba
    • 3 years ago
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    Now multiply both sides by 1/5 *

  19. hba
    • 3 years ago
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    \[\frac{ 5 }{ x } \times \frac{ 1 }{ 5 }=\frac{ 9 }{ 2x } \times \frac{ 1 }{ 5 }\]

  20. sleipnir234
    • 3 years ago
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    x=9/10x

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

  22. hartnn
    • 3 years ago
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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

  23. hba
    • 3 years ago
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    @hartnn Thanks for explaining :)

  24. sleipnir234
    • 3 years ago
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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!!

  25. shubhamsrg
    • 3 years ago
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    There are, 2 solutions! 2 theoretical solutions, one should not ignore that.

  26. hba
    • 3 years ago
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    Welcome :)

  27. hartnn
    • 3 years ago
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    silly mistakes usually happen,no problem, welcome ^_^

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