Question

Система
x+y=6
x*y=8

Нужно найти x и y.

Answer 1

x=6-y
(6-y)*y=8
y²-6y+8=0
y1+y2=6 U y1*y2=8
y1=2⇒x1=4
y2=4⇒x2=2
(4;2);(2;4)

Answer 2

x = 6-y
x и y не равны 0
находим y:
(6-y) × y = 8
6y- y^2 = 8
6y- y^2-8 = 0
y^2- 6y+8 =0
y1 = 2; y2 = 4

находим x:
x1 = 6- 2 = 4
x2= 6-4 = 2