In fact, it is Vedic Theorem
x1+x2=-b/a
The proof process is the proof process of Vedic Theorem,
The formula for finding the root of a quadratic equation of one variable is:
X1= (-b+√b^2-4ac)/2a, X2= (-b-√b^2-4ac)/2a
X1﹢X2= (-ab+ 2a-4ac)/2a+(-b-√b^2-4ac)/2a
So X1﹢X2=-b/a
X1X2= [(-b+√b ^2-4ac﹚÷2a]×[(-b-√b^2-4ac﹚÷2a]
So X1X2=c/a