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Mathematics 15 Online
OpenStudy (math2400):

can someone help me solve this (easy but haven't done it in a while)

OpenStudy (xcharlizea):

sure thing boo thangg

OpenStudy (math2400):

\[0.27 = \frac{ 110^2 }{ (y-111)^2 (y-55) }\]

OpenStudy (xcharlizea):

o wtf

OpenStudy (xcharlizea):

lmaoo hold up gimme a min

zepdrix (zepdrix):

What are we doin? +_+ solvin for y?

OpenStudy (math2400):

yes haha

zepdrix (zepdrix):

Multiply and divide some things,\[\Large\rm (y-111)^2 (y-55)= \frac{ 110^2 }{0.27 }\]Then I guess expand out all those brackets.

zepdrix (zepdrix):

Then you get a cubic.... which.... might be hard to solve :d hmm

OpenStudy (math2400):

wait it's supposed to be (y-110)^2 lol not 111/ but how do u do a cubic? LOL

zepdrix (zepdrix):

\[\Large\rm (y-110)^2 (y-55)= \frac{ 110^2 }{0.27 }\]Well you know how you have your nice `quadratic formula` for dealing with squares? x= -b+/-sqrt(b^2-.... Well there is one for cubics, but it's extremely long and complex, not worth using most of the time. We could try applying rational root theorem to find a factor, and then factor it. If it doesn't factor, then..... oh boy +_+

OpenStudy (math2400):

what is the equation for cubic? lol i think my professor wants us to know

zepdrix (zepdrix):

i doubt it :) lol http://www.math.vanderbilt.edu/~schectex/courses/cubic/

zepdrix (zepdrix):

it's the formula that's taking up two lines

zepdrix (zepdrix):

near the top

zepdrix (zepdrix):

or you could just cheat and use wolfram +_+ https://www.wolframalpha.com/input/?i=%28y-110%29%5E2%28y-55%29%3D110%5E2%2F0.27

zepdrix (zepdrix):

it's a weird solution.. not one we could've come up with just by checking roots and stuff :d

zepdrix (zepdrix):

There is probably some calculus techniques you could use to get really close to the solution... blah

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