Răspuns:
Explicație pas cu pas:
x/x²-4 -2/x²+2x +7/2x-x²=0
x/(x-2)(x+2)-2/x·(x+2)+7/x·(-(2-x))=0
x/(x-2)(x+2)-2/x·(x+2)-7/x·(2-x)=0
x²-2(x-2)-7(x+2)/x·(x+2)(x-2)=0
x²-2x+4-7x-14/x·(x+2)(x-2)=0
x²-9x-10/x·(x+2)(x-2)=0
x²-9x-10=0↔x²+x-10x-10=0⇔x(x+1)-10(x+1)=0⇔(x+1)(x-10)=0
x+1=0⇒x=-1
x-10=0⇒x=10
