Question

(x-2013)^2014=1

Answer 1

Bài làm:

(x - 2013)²⁰¹⁴ = 1

⇔ x - 2013 = \(\sqrt[2014]{1}\)

⇔ x - 2013 = 1

⇒ x = 2014

Vậy x= 2014.

Answer 2

(x - 2013)²⁰¹⁴ = 1

\(\Rightarrow\left[{}\begin{matrix}\left(x-2013\right)^{2014}=1^{2014}\\\left(x-2013\right)^{2014}=\left(-1\right)^{2014}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x-2013=1\\x-2013=-1\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2014\\x=2012\end{matrix}\right.\)

Answer 3

(x-2003)²⁰¹⁴=1

(x-2003)²⁰⁰⁴=1²⁰⁰⁴

x-2003 =1

x =1+2003

x = 2004

Vậy x=2004