Return (algebraic) equation

Algebraic equation of the form: is called returnable if its coefficients, which are located at symmetrical relative to the middle positions, are equal, that is, if , with k = 0, 1, ..., n. Sometimes such equations are called symmetric or symmetric .

a _o x ²ⁿ + a ₁ x ^2n-1 + a ₂ x ^2n-2 + ... + a ₂ x ² + a ₁ x + a ₀ = 0. - Returnable (algebraic) equation. (a ₀ ≠ 0)

Replacing y = x + 1 / x brings the equation to the nth power.