Introduction to Quadratic Equations

A quadratic equation in the variable $x$ is an equation of the form:

$$ax^2 + bx + c = 0, \quad a \neq 0$$

where $a$, $b$, and $c$ are real numbers. Here $a$ is the coefficient of $x^2$, $b$ is the coefficient of $x$, and $c$ is the constant term.

Examples of Quadratic Equations

• $2x^2 + 3x - 5 = 0$
• $x^2 - 7x + 10 = 0$
• $3x^2 - 11 = 0$ (here $b = 0$)