Algebraic equation

An algebraic equation is a mathematical statement that uses variables, constants, and mathematical operations to express a relationship between two or more quantities. The equation typically contains an equal sign, with the expression on the left side being equal to the expression on the right side. Algebraic equations are used to solve for unknown variables by manipulating the equation using algebraic techniques. Examples of algebraic equations include:

1. 2x + 5 = 11
2. 3y^2 - 7y + 2 = 0
3. 4a/b = 6
4. (x + 3)(x - 2) = 0

These equations can be solved by isolating the variable on one side of the equation and simplifying the expression to find the value of the variable that satisfies the equation.

An algebraic equation is an equation that contains algebraic expressions, such as polynomials. A polynomial is a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power. For example, the following is a polynomial:

```
3x^2 + 2x - 1
```

An algebraic equation can be solved by finding the values of the variables that make the equation true. For example, the following equation can be solved by finding the values of x that make the equation true:

```
x^2 + 2x - 3 = 0
```

The solutions to this equation are x = 1 and x = -3.

Algebraic equations are used in a wide variety of applications, such as solving problems in physics, engineering, and economics.