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Mathematics 25 Online
OpenStudy (anonymous):

question in comments

OpenStudy (anonymous):

OpenStudy (misty1212):

\[y^2-4x^2+8x-20=0\] right?>

OpenStudy (anonymous):

yeah

OpenStudy (misty1212):

you want the length of the major axis?

OpenStudy (anonymous):

yes please

OpenStudy (misty1212):

i think it is 8 lets see if we can work it out

OpenStudy (anonymous):

ok thank you so much!

OpenStudy (misty1212):

no i messed that way up let me start again

OpenStudy (misty1212):

\[y^2-4x^2+8x=20\] \[y^2-4(x^2-2x)=20\] \[y^2-4(x-1)^2=20+4\]

OpenStudy (misty1212):

damn anohter mess up

OpenStudy (xapproachesinfinity):

hmm let's me give it a try lol

OpenStudy (misty1212):

\[y^2-4(x-1)^2=20-4=16\]thats better

OpenStudy (xapproachesinfinity):

eh good :)

OpenStudy (misty1212):

divide by \(16\) get \[\frac{y^2}{16}-\frac{(x-1)^2}{4}=1\]

OpenStudy (anonymous):

thats is exactly what i got when i did it !

OpenStudy (anonymous):

i just don't know how to solve for the major axis

OpenStudy (misty1212):

lol that is what i would have got it if wasn't so slow

OpenStudy (misty1212):

now we know center is \((1,0)\) right?

OpenStudy (xapproachesinfinity):

the the length of major axis then is 4

OpenStudy (misty1212):

and the vertices are 4 units up and down

OpenStudy (misty1212):

so length of major axis is 8 i believe, not 4

OpenStudy (xapproachesinfinity):

oh yeah 2times 4 mistake on my part

OpenStudy (misty1212):

\[\frac{y^2}{4^2}-\frac{(x-1)^2}{2^2}=1\] vertices are at \((1,-4)\) and \((1,4)\)

OpenStudy (anonymous):

THANK YOU SO SO SO MUCH! THIS REALLY HELPED!

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