(x-1) ³=(x-1) Giải hộ mìn nha mink hok hơi ngu 31/08/2021 Bởi Everleigh (x-1) ³=(x-1) Giải hộ mìn nha mink hok hơi ngu
Đáp án: `x∈{0;1;2}` Giải thích các bước giải: `(x-1)^3=(x-1)` `=>(x-1)^3-(x-1)=0` `=>(x-1).(x-1)^2-(x-1).1=0` `=>(x-1).[(x-1)^2-1]=0` `=>`\(\left[ \begin{array}{l}x-1=0\\(x-1)^2-1=0\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=1\\(x-1)^2=1\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=1\\\left[ \begin{array}{l}x-1=1\\x-1=-1\end{array} \right.\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=1\\x=2\\x=0\end{array} \right.\) Vậy `x∈{0;1;2}.` Bình luận
Đáp án: $\text{(x-1)³ = (x-1) }$ $\text{⇔(x-1)³ -(x-1)=0 }$ $\text{⇔(x-1)(x-1)² – (x-1)=0 }$ $\text{⇔ (x-1)[ (x-1)²-1] =0 }$ $\text{⇔ (x-1) [(x-1+1)(x-1-1)]=0 }$ $\text{⇔(x-1) (x-0) (x-2)=0 }$ $\text{⇔ x-1=0 ⇔ x =1 }$ $\text{⇔ x-0 =0 ⇔ x = 0 }$ $\text{⇔ x-2 =0 ⇔ x = 2 }$ $\text{Vậy x ∈ { 1 ; 0 ; 2 } }$ Bình luận
Đáp án:
`x∈{0;1;2}`
Giải thích các bước giải:
`(x-1)^3=(x-1)`
`=>(x-1)^3-(x-1)=0`
`=>(x-1).(x-1)^2-(x-1).1=0`
`=>(x-1).[(x-1)^2-1]=0`
`=>`\(\left[ \begin{array}{l}x-1=0\\(x-1)^2-1=0\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=1\\(x-1)^2=1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=1\\\left[ \begin{array}{l}x-1=1\\x-1=-1\end{array} \right.\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=1\\x=2\\x=0\end{array} \right.\)
Vậy `x∈{0;1;2}.`
Đáp án:
$\text{(x-1)³ = (x-1) }$
$\text{⇔(x-1)³ -(x-1)=0 }$
$\text{⇔(x-1)(x-1)² – (x-1)=0 }$
$\text{⇔ (x-1)[ (x-1)²-1] =0 }$
$\text{⇔ (x-1) [(x-1+1)(x-1-1)]=0 }$
$\text{⇔(x-1) (x-0) (x-2)=0 }$
$\text{⇔ x-1=0 ⇔ x =1 }$
$\text{⇔ x-0 =0 ⇔ x = 0 }$
$\text{⇔ x-2 =0 ⇔ x = 2 }$
$\text{Vậy x ∈ { 1 ; 0 ; 2 } }$