A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b,
and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
An equation of the form ax2 + bx + c = 0 where a not equal to 0 is known as a quadratic equation. a, b and c are constants. The name Quadratic comes from "quad" Meaning Square, because the variable gets squared (like x2).
It is also called an "Equation of Degree 2" (because of the "2" on the x)
The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.
Quadratic Equation
A quadratic equation is an equation in one variable where the highest degree of the variable is 2.
ax2+bx+c=0, where a, b and c are real numbers and a ≠ 0 is the standard form a quadratic equation.
A quadratic equation can have at most two zeros. These are called the roots of the equation.
If a quadratic equation contains only two terms, one square term and one first power term of the unknown, it is called affected quadratic equation.
If a quadratic equation contains only the Square of the unknown, it is called a pure quadratic equation.