x²-3x+1因式分解

问题描述:

x²-3x+1因式分解

原式=x²-3x+(3/2)²-(3/2)²+1=(x-3/2)²-(√5/2)²=[(x-3/2)+√5/2][(x-3/2)-√5/2]=(x-3/2+√5/2)(x-3/2-√5/2)