Question

1/(x+4)+1/(x+5)=1/(x+6)+1/(x+3)求解

Answer 1

1/(x+4)+1/(x+5)=1/(x+6)+1/(x+3)

1/(x+5)-1/(x+6)=1/(x+3)-1/(x+4)

1/[(x+5)(x+6)]=1/[(x+3)(x+4)]

(x+5)(x+6)=(x+3)(x+4)

x²+11x+30=x²+7x+12

x²+11x-x²-7x=12-30

4x=-18

x=-9/2