急!X+1分之X=3X+3分之2X,+1 X-1分之2=X的平方-1分之四 X的平方+X分之5-X的平方-X分之一=0 怎么算?

题目

急!X+1分之X=3X+3分之2X,+1 X-1分之2=X的平方-1分之四 X的平方+X分之5-X的平方-X分之一=0 怎么算?
X+1分之X=3X+3分之2X,+1
X-1分之2=X的平方-1分之四
X的平方+X分之5-X的平方-X分之一=0
怎么算?

答案

X(X+1)=(2X+1)/(3X+3)
X(X+1)-(2X+1)/(3X+3)=0
(3X-2X-1)/(3X+3)=0
(X-1)/(3X+3)=0
X=1
2/(X-1)=4/(X^2-1)
2/(X-1)-4/ [(X+1)(X-1)] =0
{2(X+1)-4}/ [(X+1)(X-1)] =0
{2X+2-4}/ [(X+1)(X-1)] =0
2(X-1)/ [(X+1)(X-1)] =0
2/ [(X+1)] =0,无解
5/(X^2+X) - 1/(X^2-X) = 0
5/[x(x+1)] - 1/ [(x+1)(x-1)] = 0
[5(x-1)-x] / [x(x+1)(x-1)] = 0
[4x-5] / [x(x+1)(x-1)] = 0
x=5/4