Given (x + y) 2 = 9, (X-Y) 2 = 5, find the value of x 2 + y 2

Given (x + y) 2 = 9, (X-Y) 2 = 5, find the value of x 2 + y 2

∵(x+y)2=9,(x-y)2=5,∴x2+2xy+y2=9,x2-2xy+y2=5,∴2x2+2y2=9+5=14,∴x2+y2=7.