pusti budet x i y storoni preamougolinika
{2(x+y)=30,x*y=56
{x+y=15,x*y=56
{x=(15-y),x*y=56
{x=15-y,(15-y)y=56
{x=15-y,15y-y^2=56
{x=15-y,-y^2+15y-56=0
reshim kvadratnoe uravnenie:
-y^2+15y-56=0
d=225-4*(-1)*(-56)=1
y1=-15-1/2*(-1)=8
y2=-15+1/2*(-1)=7
viberim shto odna storona rovna 8
naidem vtoruju:
x=15-8=7
otvet: storoni preamougolinika rovni: 7 i 8