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toxicsugar22

  • 5 years ago

12x^2-3y^2+24y-84=0 give the exact coordinates of any four points on the hyperbola

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  1. anonymous
    • 5 years ago
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    again?

  2. toxicsugar22
    • 5 years ago
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    yes ou didnt give me a good answer

  3. toxicsugar22
    • 5 years ago
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    it wasnt right

  4. toxicsugar22
    • 5 years ago
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    hi can u help me

  5. amistre64
    • 5 years ago
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    lets see what we can accomplish

  6. watchmath
    • 5 years ago
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    12x^2-3(y^2-8y)=84 12x^2-3(y-4)^2=100

  7. watchmath
    • 5 years ago
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    no it was wrong... forget it :)

  8. amistre64
    • 5 years ago
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    (12x^2) + (-3y^2+24y) -84=0 (12x^2) +-3 (y^2-8y + ___) =84 +-3(____) (12x^2) +-3 (y^2-8y + 16) =84 +-3(16) 12x^2 -3 (y-4)^2 =84 -48 = 36 12x^2 3(y-4)^2 ----- - -------- = 1 36 36 (1/3)x^2 - (1/12)(y-4^2) = 1

  9. toxicsugar22
    • 5 years ago
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    ok

  10. amistre64
    • 5 years ago
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    when y = 4; x = +- sqrt(3) so.. (+sqrt(3),4) (-sqrt(3),4) are 2 points we know of; they are the vertices of the hyperola right?

  11. toxicsugar22
    • 5 years ago
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    ok

  12. amistre64
    • 5 years ago
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    when x=3; we get 3-y = 1 y will have to even out to 2 then... (y-4)^2 ------ = 2 12 (y-4)^2 = 24 y^2 -8y +16-24 = 0 y^2 -8y -8 = 0 y = -4 +- 2sqrt(2) can you input a sum of numbers for a point?

  13. toxicsugar22
    • 5 years ago
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    i dk

  14. amistre64
    • 5 years ago
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    i might be over thinking that; lets try at y = 0 (1/3)x^2 - 16/12 = 1 x^2 = (12+16/4) x^2 = 7 x = +- sqrt(7) then is simpler (sqrt(7),0) (-sqrt(7),0) are another 2 points

  15. anonymous
    • 5 years ago
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    hi. didn't we get exactly this answer before? was it wrong? because it looks good to me.

  16. amistre64
    • 5 years ago
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    sqrt(3) need to dbl chk it

  17. amistre64
    • 5 years ago
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    36 -48+96 - 84 ?=0

  18. amistre64
    • 5 years ago
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    132 -132 = 0 is good

  19. amistre64
    • 5 years ago
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    sqrt(7) is good cause 12.7 =84

  20. toxicsugar22
    • 5 years ago
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    good thanks

  21. toxicsugar22
    • 5 years ago
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    can u help me with one more

  22. toxicsugar22
    • 5 years ago
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    4x^2-6y^2+32x-24y+16=0

  23. toxicsugar22
    • 5 years ago
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    give the exact coordinated of an four points

  24. toxicsugar22
    • 5 years ago
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    can u helpme

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