2 câu trả lời
`( x - 3 )^3 - ( x - 3 )^2 = 0`
`=> ( x - 3 )^2. [ ( x - 3 ) - 1 ] = 0`
`=> ( x - 3 )^2. ( x - 3 - 1 )= 0`
`=> ( x - 3 )^2. ( x - 4 )= 0`
`=>` $\left[\begin{matrix} ( x - 3 )^2 = 0\\ x - 4 = 0\end{matrix}\right.$
`=>` $\left[\begin{matrix} x - 3 = 0\\ x = 0 + 4\end{matrix}\right.$
`=>` $\left[\begin{matrix} x = 3 \\ x = 4\end{matrix}\right.$
$Vậy$ `x ∈ { 3 ; 4 }`
Đáp án+Giải thích các bước giải:
`(x-3)^3-(x-3)^2=0`
`=>(x-3)^2.(x-3)-1.(x-3)^2=0`
`=>(x-3)^2.(x-3-1)=0`
`=>(x-3)^2.(x-4)=0`
`=>`\(\left[ \begin{array}{l}(x-3)^2=0\\x-4=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x-3=0\\x=4\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=3\\x=4\end{array} \right.\)
Vậy `x=3` hoặc `x=4`