1 | -5 | 8 | -4 | |
x=1 | 1 | -4 | 4 | 0 |
\(\Rightarrow\left(x-1\right)\left(x^2-4x+4\right)\) = 0
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
Ta có: x3-5x2+8x-4=0
=> x3-x2-4x2+4x+4x-4=0
=>x2(x-1)-4x(x-1)+4(x-1)=0
=>(x2-4x+4)(x-1)=0
=>(x2-2x-2x+4)(x-1)=0
=>[x(x-2)-2(x-2)](x-1)=0
=>[(x-2)(x-2)](x-1)=0
=> x=1;x=2
Vậ x=1;x=2