这个方程x3-5x2+4=0怎么算?

2025-06-25 14:00:19
推荐回答(2个)
回答1:

化为:x^3-5x�0�5+4x-(4x-4)=0
即:x(x-1)(x-4)-4(x-1)=0
(x-1)(x�0�5-4x-4)=0
解得:x=1;x=2±2√2
x1=1;x2=2+2√2;x3=2-2√2

回答2:

x^3-5x^2+4=0x^3-x^2-4x^2+4x-4x+4=0x^2(x-1)-4x(x-1)-4(x-1)=0(x-1)(x^2-4x-4)=0x-1=0或x^2-4x-4=0x1=1,x2=2+2√2,x3=2-2√2