`92783-x:173=83723`

`=> x:173=92783-83723`

`=>x:173=9060`

`=>x=9060xx173`

`=>x=1567380`

Câu 1: C

Câu 2: A

Câu 3: C

a, -1

b, 2

11-(13-x)=(13-11)

=>11-13+x=2

=>x-2=2

=>x=4

Ta có \(\dfrac{7-x}{13+y}=\dfrac{7}{13}\Rightarrow\dfrac{7-x}{7}=\dfrac{13+y}{13}\)

Áp dụng tính chất dãy tỉ số bằng nhau:

\(\dfrac{7-x}{7}=\dfrac{13+y}{13}=\dfrac{13+y-7+x}{13-7}=\dfrac{6+x+y}{6}=\dfrac{2022+6}{6}=338\)

\(\Rightarrow\left\{{}\begin{matrix}7-x=338\times7=2366\\13+y=338\times13=4394\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-2359\\y=4381\end{matrix}\right.\)

Ta có \(\dfrac{7-x}{13+y}=\dfrac{7}{13}\Rightarrow\dfrac{7-x}{7}=\dfrac{13+y}{13}\)

Áp dụng tính chất dãy tỉ số bằng nhau:

\(\dfrac{7-x}{7}=\dfrac{13+y}{13}=\dfrac{13+y-7+x}{13-7}=\dfrac{6+x+y}{6}=\dfrac{2022+6}{6}=338\)

\(\Rightarrow\left\{{}\begin{matrix}7-x=338\times7=2366\\13+y=338\times13=4394\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-2359\\y=4381\end{matrix}\right.\)

a ) x = 5 6 ; b ) x = 8 7 ; c ) x = − 11 14 − ; d ) x = − 13 12

\(x=\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+...}}}}}}\)

\(\Leftrightarrow x=\sqrt{5+\sqrt{13+x}}\) (\(x\ge0\))

\(\Leftrightarrow x^2=5+\sqrt{13+x}\)

\(\Leftrightarrow x^2-9=\sqrt{13+x}-4\)

\(\Leftrightarrow\left(x-3\right).\left(x+3\right)=\dfrac{x-3}{\sqrt{13+x}+4}\)

\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x+3=\dfrac{1}{\sqrt{x+13}+4}\left(∗\right)\end{matrix}\right.\)

Xét (*) ta có VT \(\ge3\) (1)

mà \(VP=\dfrac{1}{\sqrt{x+13}+4}\le\dfrac{1}{4}\) (2)

Từ (1) và (2) dễ thấy (*) vô nghiệm 

Hay x = 3