Question

[Nguyễn Hà Giang]

Giải phương trình : (x-1)^3+(2x-1)^3=(3x-2)^3 các bận giúp suli luôn nhé.

Answer 1

[Nguyễn Thị Ngọc Thơ]

\(\left(x-1\right)^3+\left(2x-1\right)^3=\left(3x-2\right)^3\)

\(\left(3x-2\right)\left[\left(x-1\right)^2-\left(x-1\right)\left(2x-1\right)+\left(2x-1\right)^2-\left(3x-2\right)^2\right]=0\)

\(\left(3x-2\right).\left(-3\right)\left(2x^2-3x+1\right)=0\)

\(\left(3x-2\right)\left(x-1\right)\left(2x-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=1\\x=\frac{1}{2}\\x=\frac{2}{3}\end{matrix}\right.\)

Vậy ....