Question

Tìm số thự nhiên x

mà \(x^5\)\(=x\)

Answer 1

\(x^5=x\)

\(\Rightarrow x^5-x=0\)

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

\(\Rightarrow x=0\) hoặc \(x^4-1=0\)

+) \(x=0\)

+) \(x^4-1=0\)

\(\Rightarrow x^4=1\)

\(\Rightarrow x=1\) hoặc \(x=-1\)

Vậy \(x\in\left\{0;1;-1\right\}\)

 

Answer 2

\(x^5=x\)

\(\Rightarrow x\in\left\{0;1\right\}\)

Vậy \(x\in\left\{0;1\right\}\)

Answer 3

\(x^5=x\)

\(\Rightarrow x^5-x=0\)

\(x.x^4-x.1=0\)

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

\(\Rightarrow x=0\) hoặc \(x^4-1=0\)

\(\Rightarrow x=0\) hoặc \(x^4=1\)

\(\Rightarrow x=0\) hoặc \(x^4=1^4\)

\(\Rightarrow x\in\left\{0;1\right\}\)

Vậy : \(x\in\left\{0;1\right\}\)

Answer 4

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