x^2+y^2=34 xy=15 _________________ y=15/x 225/x^2+x^2=34 225+x^4-34x^2 t=x^2 t^2=x^4 225+t^2-34t=0 t^2-34t+225=0 D=34^2-4*225=256=16^2 t1=34+16/2=25 t2=34-16/2=9 x^2=25=> x1=5 x2=-5 x^2=9=> x3=3 x4=-3 y1=15/5=3 y2=15/-5=-3 y3=15/3=5 y4=15/-5=-3 Otvet: x1=5 y1=3 x2=-5 y2=-3 x3=3 y3=5 x4=-3 y4=-5