a)
3/(y-2)+7/(y+2)=10/y // * y(y-2(x+2) ODZ: y≠0 ,y-2≠0 ,y+2≠0
Y≠2 ,y≠-2
3y(y+2)+7y(y-2)=10y(y-2)(y+2)
3y²+6y+7y²-14y=10y²-40
-8y=-40
Y=5
b)
(x+3)/x-3) + (x-3)/(x+3)=3 1/3 ODZ: x-3≠0 x≠3 , x+3≠0 x≠-3
=(x+3)/x-3) + (x-3)/(x+3)= 10/3 // *3(x-3)(x+3)
3(x+3)(x+3) +3(x-3)(x-3)=10(x-3)(x+3)
3(x²+6x+9)+3(x²-6x+9)=10x²-90
3x² +18x +27 +3x²-18x +27=10x²-90
6x²+54=10x²-90
4x²=144
X²=36
X=±6
a)
3/(y-2)+7/(y+2)=10/y // * y(y-2(x+2) ODZ: y≠0 ,y-2≠0 ,y+2≠0
Y≠2 ,y≠-2
3y(y+2)+7y(y-2)=10y(y-2)(y+2)
3y²+6y+7y²-14y=10y²-40
-8y=-40
Y=5
b)
(x+3)/x-3) + (x-3)/(x+3)=3 1/3 ODZ: x-3≠0 x≠3 , x+3≠0 x≠-3
=(x+3)/x-3) + (x-3)/(x+3)= 10/3 // *3(x-3)(x+3)
3(x+3)(x+3) +3(x-3)(x-3)=10(x-3)(x+3)
3(x²+6x+9)+3(x²-6x+9)=10x²-90
3x² +18x +27 +3x²-18x +27=10x²-90
6x²+54=10x²-90
4x²=144
X²=36
X=±6