x分之(x+1)+(x+1)分之5x=6

问题描述:

x分之(x+1)+(x+1)分之5x=6

x分之(x+1)+(x+1)分之5x=6x^2+2x+1+5x^2=6x(x+1)6x^2+2x+1=6x^2+6x4x=1x=1/4

(x+1)/x+5x/(x+1)=6
(x+1)²+5x²=6x(x+1)
x²+2x+1+5x²=6x²+6x
4x=1
x=1/4

(x+1)/x+5x/(x+1)=6
两边同时乘以x(x+1)
(x+1)^2+5x^2=6x(x+1)
6x^2+2x+1=6x^2+6x
即4x=1
x=1/4
经检验x=1/4是原方程的解