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thejoshfish

  • 2 years ago

Solve the following system. 4x^2 + 9y^2 =72 x^2 - y^2 = 5 The solutions are?

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  1. thejoshfish
    • 2 years ago
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    i've tried to do this at least 5 times. i don't understand it at all

  2. mathslover
    • 2 years ago
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    |dw:1337656235090:dw|

  3. mathslover
    • 2 years ago
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    |dw:1337656263685:dw|

  4. mathslover
    • 2 years ago
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    |dw:1337656308816:dw|

  5. Outkast3r09
    • 2 years ago
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    or multiply the second equation by -4

  6. mathslover
    • 2 years ago
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    |dw:1337656338440:dw|

  7. mathslover
    • 2 years ago
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    |dw:1337656365038:dw|

  8. mathslover
    • 2 years ago
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    |dw:1337656398578:dw|

  9. Outkast3r09
    • 2 years ago
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    \[4x^2+9y^2=72\] \[-4(x^2-y^2)=-4(5)\]

  10. mathslover
    • 2 years ago
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    |dw:1337656433069:dw|

  11. thejoshfish
    • 2 years ago
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    there's supposed to be 2 solutions: The solutions are: (_,_) & (_,_)

  12. Outkast3r09
    • 2 years ago
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    \[4x^2+9y^2=72\] \[-4x^2+4y^2=-20\] add them together to get \[13y^2=52\]

  13. thejoshfish
    • 2 years ago
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    trust me, i've gotten all the solutions possible. but the answer is still wrong.

  14. Outkast3r09
    • 2 years ago
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    \[y^2=\sqrt{\frac{52}{13}}\]

  15. mathslover
    • 2 years ago
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    the solutions are : sqrt(52/11) and sqrt(107/11)

  16. thejoshfish
    • 2 years ago
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    but there's 4 solutions.

  17. mathslover
    • 2 years ago
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    @ outkast i think y = sqrt(52/11) u wrote y^2 = sqrt(52/13) ?

  18. Outkast3r09
    • 2 years ago
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    yeah i think there might be aproblem with your's mine is correct i thinkkk let me check

  19. Outkast3r09
    • 2 years ago
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    yeah mine is correct .. by elimination

  20. mathslover
    • 2 years ago
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    u can write it as : |dw:1337656633671:dw|

  21. radar
    • 2 years ago
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    \[y=\pm2\]\[x=\pm3\]

  22. thejoshfish
    • 2 years ago
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    i also got that ^

  23. Outkast3r09
    • 2 years ago
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    i'ma cheat *grabs calculator

  24. thejoshfish
    • 2 years ago
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    lol, i've done that too! ^

  25. Outkast3r09
    • 2 years ago
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    ahh wait mathslover you have 7 instead of 9

  26. mathslover
    • 2 years ago
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    hey sorry , i took 4x^2 + 7y^2 but it is 4x^2 + 9y^2 , therefore the 4 solutions are : |dw:1337656820684:dw|

  27. Outkast3r09
    • 2 years ago
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    i believe you made a 9 really badly and thought it was a 7 the first equation is 4x^2+9y^2=72

  28. brinethery
    • 2 years ago
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    For y, I got y= +/- sqrt (52/13)

  29. Outkast3r09
    • 2 years ago
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    thats right now for x

  30. mathslover
    • 2 years ago
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    yes sorry , y = + 2 , -2 x = +3 , -3

  31. mathslover
    • 2 years ago
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    @Outkast3r09 x = +3 , -3 right ?

  32. Outkast3r09
    • 2 years ago
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    \[x^2-(2^2)=5\] \[x^2-(-2^2)=5\]

  33. brinethery
    • 2 years ago
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    x = +/- 3

  34. Outkast3r09
    • 2 years ago
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    \[x^2-4=5\] \[x^2-4=5\]

  35. radar
    • 2 years ago
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    \[\sqrt{52/13}=\pm2\]\[x ^{2}=9\]\[x=\pm3\]

  36. brinethery
    • 2 years ago
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    I was slow, I was using a crappy calculator.

  37. Outkast3r09
    • 2 years ago
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    does this mean it's a multiplicity of 2?

  38. brinethery
    • 2 years ago
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    @thejoshfish did you try putting in y= +/- sqrt (52/13) and x=+/- 3?

  39. brinethery
    • 2 years ago
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    @Outkast3r09 it means 3*3 and (-3)(-3).

  40. thejoshfish
    • 2 years ago
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    i sure did. haha trust me, i tried everything. i'm so fed up. but you guys are wonderful.

  41. Outkast3r09
    • 2 years ago
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    those are your answers are you using like owl or whatever

  42. thejoshfish
    • 2 years ago
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    owl?

  43. brinethery
    • 2 years ago
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    Talk with your instructor. I'm taking statics and have the instructor's manual. They're wrong way more times than I'd like them to be. I think the grad students who write the manuals aren't getting enough sleep.

  44. Outkast3r09
    • 2 years ago
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    Online web learning

  45. Outkast3r09
    • 2 years ago
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    what does it say the answers are josh?

  46. thejoshfish
    • 2 years ago
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    alpha omega academy

  47. thejoshfish
    • 2 years ago
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    it doesn't tell me. but thanks for helping.

  48. Outkast3r09
    • 2 years ago
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    sometimes those sites have like a function button with like +- and what not . that could be the problem or try 3,-3 , -2 ,2

  49. brinethery
    • 2 years ago
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    If you have to take the higher level physics series, they might make you use MasteringPhysics. Have fun with that! Groans.

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