MHB What is the real root of x^5+5x^3+5x-1?

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Find the real root of $$x^5+5x^3+5x-1$$
 
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Hint:
[sp]Let $$x=u+\frac{k}{u}.$$[/sp]
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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