# Reciprocal equation

From Encyclopedia of Mathematics

An equation of the form

$$a_0x^n+a_1x^{n-1}+\ldots+a_{n-1}x+a_n=0$$

in which the coefficients located at equal distances from the beginning and from the end are equal: $a_i=a_{n-i}$. A reciprocal equation of degree $2n$ may be reduced to an $n$-th degree equation by putting $z=x\pm1/x$.

**How to Cite This Entry:**

Reciprocal equation.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Reciprocal_equation&oldid=34042

This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article