Question

解方程 6/x^2-25=3/x^2+8x+15 + 5/x^-2x-15

Answer 1

6/(x^2-25)=3/(x^2+8x+15)+5/(x^2-2x-15)

6/[(x-5)(x+5)]=3/[(x+3)(x+5)]+5/[(x+3)(x-5)]

6(x+3)=3(x-5)+5(x+5)

6x+18=3x-15+5x+25

6x+18=8x+10

6x+18-8x-10=0

-2x+8=0

x=4

经检验,x=4是原方程的根.