Question 38365
x+y=10...................................i
x*y=20 find the value of x,y
(x-y)^2=(x+y)^2-4y=10^2-4*20=100-80=20
x-y=sqrt(20)=2sqrt(5)....................................ii
i+ii
2x=10+2sqrt(5)
x=5+sqrt(5)
i-ii
2y=10-2sqrt(5)
y=5-sqrt(5)