Question 181815
product of 4---> x*y=4 ---> y=4/x

sum of 6 ----> x+y=6 ---> x+4/x=6 ---> (x^2+4)/x=6


----> x^2-6x+4=0


Solve for x


Use quadratic formula to get


x=3+sqrt(5) or x=3-sqrt(5)


---> y=4/(3+sqrt(5)) ----> y=3-sqrt(5)


---> y=4/(3-sqrt(5)) ----> y=3+sqrt(5)



Answer: Two numbers are 3+sqrt(5) and 3-sqrt(5)