(1/(x+1)+1/(x+4))*3+(x-3)*1/(x+4)=1,怎么解,快点谢谢了

问题描述:

(1/(x+1)+1/(x+4))*3+(x-3)*1/(x+4)=1,怎么解,快点谢谢了

3*(X+1)+3*(X+4)+(X-3)*(X+4)=1
3*(X+1)+X*(X+4)=1
(X+1)(X+4)=3(X+4)+X(X+1)
X=9/2=4.5

通分
3(x+4)+3(x+1)+(x-3)(x+1) = (x+1)(x+4),x≠-1,-4
3x+12+3x+3+x²-2x-3=x²+5x+4
-x+8=0
x=8