Equation Solver
Solve linear equations (ax + b = c) and quadratic equations (ax² + bx + c = 0).
Equation Type
Understanding Equations
An equation is a mathematical statement that asserts the equality of two expressions. Solving an equation means finding the value(s) of the variable(s) that make the statement true.
Linear Equation (ax + b = c)
A linear equation has at most one solution.
Quadratic Equation (ax² + bx + c = 0)
A quadratic equation can have two, one, or no real solutions, depending on the discriminant (b² - 4ac).
Equation Examples
| Equation Type | Equation | Solutions |
|---|---|---|
| Linear | 2x + 4 = 10 | x = 3 |
| Linear | 5x - 1 = 9 | x = 2 |
| Quadratic | x² - 5x + 6 = 0 | x = 2, x = 3 |
| Quadratic | x² + 4x + 4 = 0 | x = -2 |
| Quadratic | x² + 1 = 0 | No real solutions |
Frequently Asked Questions
What is an equation?
An equation is a mathematical statement that asserts the equality of two expressions. It typically contains one or more variables.
What is a linear equation?
A linear equation is an algebraic equation in which each term has an exponent of 1 and the graphing of the equation results in a straight line. It has at most one solution.
What is a quadratic equation?
A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one term in which the unknown quantity is squared but no higher. Its general form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. It can have up to two solutions.