已知x^2=x+1,比较x^5与5x+4的大小

问题描述:

已知x^2=x+1,比较x^5与5x+4的大小
如题,还没学到根号,不要用根号解,

x^5=x²x²x=(x+1)(x+1)x
=(x²+2x+1)x
=(x+1+2x+1)x
=(3x+2)x
=3x²+2x
=3(x+1)+2x
=5x+3