Toán tìm X biết X mũ 4 -3X mũ 3 +2X mũ 2-4X+4=0 19/07/2021 By Autumn tìm X biết X mũ 4 -3X mũ 3 +2X mũ 2-4X+4=0
$x^4-3x^3+2x^2-4x+4=0$ <=>$x^3(x-1)-2x^2(x-1)-4(x-1)=0$ <=>$(x-1)(x^3-2x^2-4)=0$ <=> \(\left[ \begin{array}{l}x-1=0\\x^3-2x^2-4=0\end{array} \right.\) <=>$x=1$ Vậy S={1} Trả lời
$x^4-3x^3+2x^2-4x+4=0$ <=>$x^3(x-1)-2x^2(x-1)-4(x-1)=0$ <=>$(x-1)(x^3-2x^2-4)=0$ <=> \(\left[ \begin{array}{l}x-1=0\\x^3-2x^2-4=0\end{array} \right.\) <=>$x=1$
Vậy S={1}