已知x^2=x+1,比较x^5与5x+4的大小

日期:2010-10-05 04:27:01 人气:1

已知x^2=x+1,比较x^5与5x+4的大小

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<5x+4 ∴x^5<5x+4
    A+
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