1.当x^2-2x-1=0,求代数式x^4-x^3-3x^2-x+5的值.

问题描述:

1.当x^2-2x-1=0,求代数式x^4-x^3-3x^2-x+5的值.

x^4-x^3-3x^2-x+5
=x^4-2x^3-x^2+x^3-2x^2-x+5
=x^2(x^2-2x-1)+x(x^2-2x-1)+5
=0+0+5
=5