need clarification on solving this equation

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need clarification on solving this equation

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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which?
\[y ^{3}-10y ^{3 \over 2}+16=0\]
I got y=2 and y=8 so far..I'm not sure if I need to change this to a fraction or what?

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Try writing the y^(3/2) in another term, suck as x
if you set x = y^(3/2) you will get x^2-10x+16
ok. Where do I go from here? :/
factor the equation for (x-2) (x-8) so you get x=2 and x=8
and then substitute x = y^(3/2) and then solve
y^(3/2) = 2 y^(3/2) = 8 y = 2^(2/3) y = 4
okk gotcha! thanks!

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