Question

tìm x

\(x^{100}=x^{50}\)

Answer 1

x¹⁰⁰ = x⁵⁰

x = 1

vì chỉ có 1¹⁰⁰ mới = 1^{50 like nha}

Answer 2

x=1 hoặc x=0

Vì 1^100=1^50

0^100=0^50

Answer 3

\(x^{100}=x^{50}\Leftrightarrow x^{100}-x^{50}=0\Leftrightarrow x^{50}\left(x^{50}-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}x^{50}=0\\x^{50}=1\\x^{50}=-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)