{a²+28+b²=100
{b=3a
a²+28+(3a)²=100
a=6√5/5
a=-6√5/5
b=3*6√5/5
b=3*(-6√5/5)
b=18√5/5
b=-18√5/5
(a₁;b₁)=(6√5/5; 18√5/5)
(a₂;b₂)=(-6√5/5;-18√5/5)
{(6√5/5)²+28+(18√5/5)²=100
{18√5/5=3*6√5/5*1
{(-6∫5/5)²+28+(-18√5/5)²=100
{-18√5/5=3*(-6√5/5)*1
{100=100
{8,04984=8,04984
{100=100
{-8,04984=-8,04984
ОТВЕТ:
(a₁;b₁)=(6√5/5; 18√5/5)
(a₂;b₂)=(-6√5/5;-18√5/5)