Question

(x-1)³=(x-1)⁴

Answer 1

\(\left(x-1\right)^3=\left(x-1\right)^4\) 

\(\Rightarrow\left(x-1\right)^3-\left(x-1\right)^4=0\)

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

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

Khi    \(x-1=0\)  Hoặc   \(2-x=0\)

TH1  \(x-1=0\Rightarrow x=1\)

TH2  \(2-x=0\Rightarrow x=2\)

Vậy   x=1  hoặc   x=2

Answer 2

\(\left(x-1\right)^3=\left(x-1\right)^4=>\left(x-1\right)^3-\left(x-1\right)^4=0=>\left(x-1\right)^3.\left[1-\left(x-1\right)\right]=0\)

=>(x-1)^3=0

hoặc 1-(x-1)=0

=>x=1

hoặc x-1=1=>x=2

vậy x=1;x=2

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