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cutiecomittee123

  • one year ago

how do i solve this system of equations (x+1)^2/25 + (y+2)^2/4 =1 y=(x+1)^2+1 I know that the first one is an ellipse and the second one is a parabola therefore there can be up to 3 intersection points.

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  1. anonymous
    • one year ago
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    ick

  2. anonymous
    • one year ago
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    i guess you can replace \(y\) in the first equation by \((x+1)^2+1\) but maybe there is an easier way

  3. anonymous
    • one year ago
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    want to try that? (btw they do not intersect)

  4. cutiecomittee123
    • one year ago
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    its a hard one

  5. cutiecomittee123
    • one year ago
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    the two graphs dont intersect?

  6. anonymous
    • one year ago
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    no they do not

  7. anonymous
    • one year ago
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    damn that is wrong

  8. anonymous
    • one year ago
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    thinking...

  9. anonymous
    • one year ago
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    ok how about this :\[y=(x+1)^2+1\] so \[(x+1)^2=y-1\]

  10. anonymous
    • one year ago
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    replace \((x+1)^2\) in the ellipse with \(y-1\) you will get a quadratic equation in \(y\)

  11. anonymous
    • one year ago
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    @iambatman how does that seem to you?

  12. anonymous
    • one year ago
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    \[\frac{y-1}{25}+\frac{(y+2)^2}{4}=1\]lets try that

  13. anonymous
    • one year ago
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    \[4(y-1)+25(y+2)^2=100\] thats better

  14. anonymous
    • one year ago
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    i must be screwing up somehow

  15. cutiecomittee123
    • one year ago
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    omg i got distracted

  16. anonymous
    • one year ago
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    i am still messing up i have to figure this out

  17. cutiecomittee123
    • one year ago
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    im really confused with it

  18. anonymous
    • one year ago
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    me too but i will figure it out somehow

  19. cutiecomittee123
    • one year ago
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    I am just going to graph them both and see what happens

  20. anonymous
    • one year ago
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    i did that first

  21. cutiecomittee123
    • one year ago
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    https://www.desmos.com/calculator

  22. cutiecomittee123
    • one year ago
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    Yeah they don't intersect what so ever. Well anyways that is fine. the question just says to graph the system of equations and that's exactly what we both did, thanks:) lol sorry for the confusion.

  23. anonymous
    • one year ago
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    oooh! it said graph...

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