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toxicsugar22

  • 5 years ago

9y^2-8x^2+72y+16x+64=0 give the exact coordinates of any four points on the hyperbola

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  1. myininaya
    • 5 years ago
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    let x=0 solve for y let y=0 solve for x you should get two solutions for each time so that is 4 solutions

  2. toxicsugar22
    • 5 years ago
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    can u help me put x for 0

  3. myininaya
    • 5 years ago
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    x=0 so we have 9y^2+72y+64=0 do you know how to solve this?

  4. toxicsugar22
    • 5 years ago
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    YES

  5. toxicsugar22
    • 5 years ago
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    ITS A quadractic equation

  6. myininaya
    • 5 years ago
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    thats right you sound happy lol i think

  7. toxicsugar22
    • 5 years ago
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    yes

  8. toxicsugar22
    • 5 years ago
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    cant we foil

  9. toxicsugar22
    • 5 years ago
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    to make it smaller numbers

  10. myininaya
    • 5 years ago
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    i dont think there are any common factors but you see if the polynomial is factorable if you like

  11. anonymous
    • 5 years ago
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    hey myininaya can you help me out after with my trapezoidal rule question:)

  12. toxicsugar22
    • 5 years ago
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    so how do i do this

  13. toxicsugar22
    • 5 years ago
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    u do it and we will compare our answer

  14. toxicsugar22
    • 5 years ago
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    ok i got mine

  15. toxicsugar22
    • 5 years ago
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    answer

  16. toxicsugar22
    • 5 years ago
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    did u get an anser

  17. anonymous
    • 5 years ago
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    this is weird i never recall ever learning hyperbola's in high school or college.

  18. toxicsugar22
    • 5 years ago
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    myininama are you still there

  19. myininaya
    • 5 years ago
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    sorry i was away

  20. myininaya
    • 5 years ago
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    \[y=\frac{-72\pm \sqrt{72^2-4*9*64}}{2*9}\]

  21. toxicsugar22
    • 5 years ago
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    ok

  22. toxicsugar22
    • 5 years ago
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    i got that

  23. toxicsugar22
    • 5 years ago
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    and then help me furthur

  24. myininaya
    • 5 years ago
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    with simplifying?

  25. toxicsugar22
    • 5 years ago
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    yes

  26. toxicsugar22
    • 5 years ago
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    please

  27. myininaya
    • 5 years ago
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    the bottom is 18 because 2*9=18 i would be 72^2-4*9*64 in my calculator if i were you

  28. toxicsugar22
    • 5 years ago
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    ok

  29. anonymous
    • 5 years ago
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    exact answer i get is \[y=(-72\pm \sqrt{4968})\div18\]

  30. myininaya
    • 5 years ago
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    y=(-72+ sqrt{329472})/18 y=(-72- sqrt{329472})/18

  31. toxicsugar22
    • 5 years ago
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    that is te answer

  32. myininaya
    • 5 years ago
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    lol hes right i accidently put + between the b^2 and the 4ac

  33. myininaya
    • 5 years ago
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    hey beehive if you want your fractions to look cooler you can use frac{5}{7} and this will give you 5/7 in the equation editor if you want

  34. anonymous
    • 5 years ago
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    ok thanks.

  35. toxicsugar22
    • 5 years ago
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    so myininaya how do u go from there

  36. myininaya
    • 5 years ago
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    what do you mean?

  37. myininaya
    • 5 years ago
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    you can find the other two points now if you want

  38. anonymous
    • 5 years ago
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    \[y={-4} \pm \frac{\sqrt{4968}}{18}\]

  39. myininaya
    • 5 years ago
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    we already let x be 0 now lets let y be 0 and we will stil get a quadratic like -8x^2+16x+64=0

  40. myininaya
    • 5 years ago
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    divide both sides by -8 so we have x^2-2x-8=0 (x-4)(x+2)=0 x=4 and x=-2 so our four coordinates are (4,0), (-2,0), (0,-4+sqrt(4968)/18),(0,-4-sqrt(4968)/18)

  41. toxicsugar22
    • 5 years ago
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    i dont think the last two points are correct

  42. toxicsugar22
    • 5 years ago
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    can we simply it

  43. myininaya
    • 5 years ago
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    what did you get when u did 72^2-4(9)(36) i dont have my calculator if it is 4968 then those are corret above

  44. myininaya
    • 5 years ago
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    i only have this calcutor on computer and i dont like to use it

  45. toxicsugar22
    • 5 years ago
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    i got 3888

  46. toxicsugar22
    • 5 years ago
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    inm i got 2880

  47. myininaya
    • 5 years ago
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    72^2=5184 4*9*64=2304 i mean 64 not 36

  48. anonymous
    • 5 years ago
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    myininaya where did you get 36. that's what i mean.

  49. myininaya
    • 5 years ago
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    2880

  50. anonymous
    • 5 years ago
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    2880 here also

  51. myininaya
    • 5 years ago
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    lol that should be under the square root sign not 4 thousand something number

  52. toxicsugar22
    • 5 years ago
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    ok thanks i got it

  53. anonymous
    • 5 years ago
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    squareroot of 4968 i think

  54. myininaya
    • 5 years ago
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    but 72^2-4(9)(36)=2880

  55. myininaya
    • 5 years ago
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    i mean 64 not 36

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