Question

Rozwiąż równanie:

Answer 1

X/(x+2) + 1/(x-2) = 4/[(x+2)(x-2)]   /*(x-2)(x+2) , x≠-2  i  x≠2

x(x-2)+(x+2)=4
x²-2x+x+2-4=0
x²-x-2=0
x²+x-2x-2=0
x(x+1)-2(x+1)=0
(x+1)(x-2)=0
x+1=0  v  x-2=0
x=-1  v  x=2∉D
Odp. x=-1