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Toán Lớp 8: Tìm x biết : ( x – 1) ^3 = ( 1 – x ) ^2

Home/ Toán Lớp 8: Tìm x biết : ( x – 1) ^3 = ( 1 – x ) ^2

Toán Lớp 8: Tìm x biết : ( x – 1) ^3 = ( 1 – x ) ^2

Thái Lâm Tháng Tám 29, 2022 Toán học 2 Comments 0 views

Toán Lớp 8: Tìm x biết : ( x – 1) ^3 = ( 1 – x ) ^2

Comments ( 2 )

cobebongdem
29 Tháng Tám, 2022 at 6:39 sáng

Reply

Giải đáp:

$(x-1)³=(1-x)²$

$⇔ (x-1)³-(x-1)²=0$

$⇔ (x-1)².(x-1)-1.(x-1)²=0$

$⇔ (x-1)².(x-1-1)=0$

$⇔ (x-1)².(x-2)=0$

$⇔$ \(\left[ \begin{array}{l}(x-1)^2=0\\x-2=0\end{array} \right.\) $⇔$ \(\left[ \begin{array}{l}x-1=0\\x=2\end{array} \right.\) $⇔$ \(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\)

$\text{Vậy x ∈ {1;2}}$
dongoctuan
29 Tháng Tám, 2022 at 6:38 sáng

Reply

(x-1)^3 = (1-x)^2

=> (x-1)^3 – (x-1)^2 =0

=> (x-1)^2 (x-1-1)=0

=> (x-1)^2 (x-2)=0

=> \(\left[ \begin{array}{l}(x-1)^2=0\\x-2=0\end{array} \right.\)

=> \(\left[ \begin{array}{l}x-1=0\\x=2\end{array} \right.\)

=> \(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\)

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