Question

已知x=根号3+根号2 分之根号3-根号2 ,y=根号3-根号2分之根号3+根号2,

Answer 1

x=(√3-√2)^2=5-2√6,y=(√3+√2)^2=5+2√6,

x+y=10,xy=1,

∴x/y+y/x=(x^2+y^2)/(xy)=(x+y)^2-2xy=100-2=98.

2x^2-3xy+2y^2=2(x+y)^2-7xy=200-7=193.