已知x²-5x+1=0求x³-4x²-4x-1的值

来源：学生作业学帮网编辑：学帮网时间：2024/05/30 14:26:07

x³-4x²-4x-1=(x²-5x+1)X+x²-5x-1
因为x²-5x+1=x²-5x-1+2=0
所以x²-5x-1=-2
所以x³-4x²-4x-1=(x²-5x+1)X+x²-5x-1=-2

x³-4x²-4x-1=(x²-5x+1)X+x²-5x-1=0-1-1=-2