Question

 tìm x thuộcZ biết

x-2/4=9/x-2

Answer 1

\(\frac{x-2}{4}=\frac{9}{x-2}\)

\(\Leftrightarrow\left(x-2\right)^2=9.4\)

\(\left(x-2\right)^2=36\)

\(\Rightarrow\orbr{\begin{cases}x-2=6\\x-2=-6\end{cases}\Leftrightarrow\orbr{\begin{cases}x=8\\x=-4\end{cases}}}\)

Vậy \(\orbr{\begin{cases}x=8\\x=-4\end{cases}}\)

Answer 2

\(\frac{x-2}{4}=\frac{9}{x-2}\)

<=>(x-2)(x-2)=9.4

<=>(x-2)²=36

<=>(x-2)²=6²

=>x-2=-6 hoặc x-2=6

    x=-6+2         x=6+2

    x=-4             x=8

Vậy x\(\in\){-4;8}

Answer 3

\(\frac{x-2}{4}=\frac{9}{x-2}\)

\(\Rightarrow\left(x-2\right)\left(x-2\right)=9\times4\)

\(\Rightarrow\left(x-2\right)^2=36=6^2\)

\(\Rightarrow x-2=6\)

\(\Rightarrow x=6+2\)

\(\Rightarrow x=8\)

Answer 4

Nguyễn Châu Tuấn Kiệt thiếu x-2 là số âm

Answer 5

\(\frac{x-2}{4}=\frac{9}{x-2}\)

\(\Leftrightarrow\left(x-2\right)\left(x-2\right)=9.4\)

\(\Leftrightarrow x^2-4x+4=36\)

\(\Leftrightarrow x^2-4x+4=6^2\)

Xét 2 TH:

TH1: x - 2 = -6

=> x = 2 + -6

     x = -4

TH2: x - 2 = 6

=> x = 2 + 6

     x = 8

\(\Rightarrow\orbr{\begin{cases}x=-4\\x=8\end{cases}}\)