- Thread starter
- #1

- Thread starter Erfan
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- Thread starter
- #1

Since \(\displaystyle u \ne 0\) you may divide through by \(\displaystyle u^2\).How do I reduce u^4 + 5u^3 + 6u^2 + 5u + 1 = 0 to v^2 + 5v + 4 = 0 by using v = u + 1/u ?

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- Mar 10, 2012

- 834

You can do as M R suggested or you can put $v=u+1/u$ in $v^2+5v+4=0$. You should get $u^4 + 5u^3 + 6u^2 + 5u + 1 = 0$.How do I reduce u^4 + 5u^3 + 6u^2 + 5u + 1 = 0 to v^2 + 5v + 4 = 0 by using v = u + 1/u ?