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Mathematics 17 Online
OpenStudy (anonymous):

need clarification on solving this equation

OpenStudy (anonymous):

which?

OpenStudy (anonymous):

\[y ^{3}-10y ^{3 \over 2}+16=0\]

OpenStudy (anonymous):

I got y=2 and y=8 so far..I'm not sure if I need to change this to a fraction or what?

OpenStudy (anonymous):

Try writing the y^(3/2) in another term, suck as x

OpenStudy (anonymous):

if you set x = y^(3/2) you will get x^2-10x+16

OpenStudy (anonymous):

ok. Where do I go from here? :/

OpenStudy (anonymous):

factor the equation for (x-2) (x-8) so you get x=2 and x=8

OpenStudy (anonymous):

and then substitute x = y^(3/2) and then solve

OpenStudy (anonymous):

y^(3/2) = 2 y^(3/2) = 8 y = 2^(2/3) y = 4

OpenStudy (anonymous):

okk gotcha! thanks!

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