Question

xy+x+y=-5

giup minh nhe

nho viet luon cach giai nhe

 

Answer 1

xy + x + y = -5

x(y + 1) + y = -5

x(y + 1) + y + 1 = -5 + 1 = -4

(x + 1)(y + 1)  = -4 = -4.1 = -2.2 = -1.4 

x +  1 = - 4 => x = -5 ; y+  1 = 1 => y = 0

x + 1  = -2 => x = -3 ; y + 1 = 2 => y = 1

x + 1 = -1 => x = -2; y + 1  = 4 => y = 3

Vậy (x , y) = (-5 ; 0) ; (-2 ; 1) ; (-2 ; 3) 

Answer 2

xy+x+y= -5

(x+1)y+x =-5

(x+1)y+x-(-5)=0

(X+1)y+x+5=0

x+1=0

x= -1

y+1=0

y= - 1