一元三次方程怎么解1/X3+1/(X-1)3=0

问题描述:

一元三次方程怎么解1/X3+1/(X-1)3=0

1/X^3+1/(X-1)^3=01/X^3=-1/(X-1)^3X^3=-(X-1)^3X^3=-X^3+3X^2-3X+12X^3-3X^2+3X-1=02X^2-2X^2+2X-X^2+X-1=02X(X^2-X+1)-(X^2-X+1)=0(X^2-X+1)(2X-1)=0X^2-1+1=0(无解),2X-1=0X=1/2