Question

[Chu Thuỳ Dung]

Giúp mình bài này với ạ. Tìm x

Answer 1

[Dang Tung]

\(\left(x-7\right)^{2025}=125\left(x-7\right)^{2020}\\ =>\left(x-7\right)^{2020}.\left[\left(x-7\right)^5-125\right]=0\)

\(=>\left[{}\begin{matrix}\left(x-7\right)^{2020}=0\\\left(x-7\right)^5=125\end{matrix}\right.\)

\(=>\left[{}\begin{matrix}x-7=0\\x-7=\sqrt[5]{125}\end{matrix}\right.\)

\(=>\left[{}\begin{matrix}x=7\\x=7+\sqrt[5]{125}\end{matrix}\right.\)

Answer 2

[Akai Haruma]

Lời giải:

$(x-7)^{2025}=125(x-7)^{2020}$

$\Rightarrow (x-7)^{2025}-125(x-7)^{2020}=0$

$\Rightarrow (x-7)^{2020}[(x-7)^5-125]=0$

$\Rightarrow (x-7)^{2020}=0$ hoặc $(x-7)^5=125$
$\Rightarrow x-7=0$ hoặc $x-7=sqrt[5]{125}+7$