General Equation of the Second Degree
The equation of the form is
When , and are not simultaneously zero, is called the general equation of the second degree or the quadratic equation in and .
An equation of the form is said to be the homogeneous equation of degree , where is a positive integer, and if for some real number , we have
For example, the equation is a homogeneous equation of degree , because
But the general second degree equation
is not homogeneous equation, because
Second Degree Homogeneous Equation
The equation of the form is called the second degree homogeneous equation.