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 .
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.