SafekipediaAn algebraic equation is a fun kind of math puzzle that helps us find missing numbers. It looks like this: P = 0, where P is called a polynomial. Polynomials are made of numbers and letters (called variables) put together with addition, subtraction, and multiplication.
For example, an equation like ( x^{5} - 3x + 1 = 0 ) is an algebraic equation. We try to find a number for x that makes the whole thing equal to zero. Sometimes these equations have just one letter, like x, and we call them univariate. When they have more than one letter, like x and y, we call them multivariate.
People have loved solving these puzzles for a very long time. Smart thinkers from Babylon thousands of years ago could solve some of them. Later, great minds like Muhammad ibn Musa al-Khwarizmi and Niels Henrik Abel found new ways to solve even harder puzzles.
Algebraic equations are important in many parts of math. They help us understand numbers better and are used in algebraic number theory, Galois theory, and algebraic geometry. Even though some equations can be very tricky, they are like exciting challenges for mathematicians everywhere.
This article is a child-friendly adaptation of the Wikipedia article on Algebraic equation, available under CC BY-SA 4.0.