# Complex equation z⁵ + z³ = 1

## 1 Answer

However, in this case, the given equation is a quintic equation (a polynomial of degree 5), and solving general quintic equations algebraically can be quite complex. There is no general formula for solving quintic equations using radicals, similar to quadratic or cubic equations.

Therefore, for this particular equation, it may be more practical to solve it numerically using computational methods or software, which can provide an approximate solution for z.

Dr Ali

37

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I don't think this equation can be solved analytically.