Question

$left { {{xsqrt{y^{-1}}+x^{-1}sqrt{y}=2} atop {y-x=12}} right.$

помогите срочно

Answer 1

sqrt(x^2/y)+sqrt(y/x^2)=2

sqrt((x^2/y)=t

t+1/t=2

(t-1)^2=0

t=1

x^2/y=1

x^2=y

y-x=12

 

x^2-x-12=0

x1=-3 x2=4 

y1=9  y2=16