芋头泥怎么做好吃:初一数学

来源:百度文库 编辑:神马品牌网 时间:2024/05/08 16:57:14
若a^2+a-3=0,则a^4+2a^3-a-1=________
需要过程

a^2+a-3=0,
a^2+a=3
a^4+2a^3-a-1
=a^2(a^2+a)+a^3-a-1
=3a^2+a^3-a-1
=a^3+3a^2-a-1
=a(a^2+a)+2a^2-a-1
=3a+2a^2-a-1
=2(a^2+a)-1
=2*3-1
=5

a^2+a-3=0,
a^2+a=3
a^4+2a^3-a-1
=a^2(a^2+a)+a^3-a-1
=3a^2+a^3-a-1
=a^3+3a^2-a-1
=a(a^2+a)+2a^2-a-1
=3a+2a^2-a-1
=2(a^2+a)-1
=2*3-1
=5