# Algebraic equation

## Definition

**Definition. An algebraic equation in ***n *variables is an polynomial equation of the form

where the coefficients are integers, the exponents* e*_{i} are nonnegative integers and the sum is finite.

### Examples.

1. The octoide: x^{4} - (x^{2 }+ y^{2}) = 0

2. The unit circle: x^{2} + y^{2} - 1 = 0

3. The unit sphere: x^{2} + y^{2} + z^{2} - 1 = 0

Source:` ``Wolfram MathWord`

**Keywords: **
mathematica, algebra, algebraic equations, superior algebra

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