Bring Quintic Form

A Tschirnhausen Transformation can be used to take a general Quintic Equation to the form

$$x^5-x-a=0,$$

where $a$ may be Complex.

See also Bring-Jerrard Quintic Form, Quintic Equation

References

Ruppert, W. M. ``On the Bring Normal Form of a Quintic in Characteristic 5.'' Arch. Math. 58, 44-46, 1992.