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x^3-9x^3/2+8=0
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Do you mean: \[x ^{3} - \frac{ 9x ^{3} }{ 2 } + 8 = 0\]
\[x ^{3}-9x ^{(3/2)}+8=0\]
@shamim yeah, that's what I mean
\[or, x ^{3}-8x ^{(3/2)}-x ^{(3/2)}+8=0\]
\[x ^{(3/2)}(x ^{(3/2)}-8)-(x ^{(3/2)}-8)=0\]
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\[or, (x ^{(3/2)}-1)(x ^{3/2}-8)=0\]
\[I got this far (u-8)(u-1)=0 then u=8 u=1 \]
ok
It says the answer is x=1and x=4 but I was wondering how the 4 came about.
\[\let x ^{3/2}=u\]
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ok i m now trying to clearifying ur problem
This is what I did: u^2-9u+8=0 then (u-8)(u-1)=0 factored. so u=8 and u=1 but then how did the text get x=4?
ok
let \[x ^{3/2}=u\]
then our equation will b \[u ^{2}-9u+8=0\]
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\[or, u ^{2}-8u-u+8=0\]
\[or, u(u-8)-(u-8)=0\]
\[or, (u-1)(u-8)=0\]
\[u-1=0 \]
\[or, u=1\]
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\[or, x ^{3/2}=1\]
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