__General Equation of Second Degree__**:**

The equation of the form

Where , and are not simultaneous zero, is called the general equation of the second degree or the quadratic equation in and .

__Homogeneous Equation__**:**

An equation of the form is said to be homogeneous equation of degree , where is positive integer, 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.