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Ta có : \(\frac{x-1}{12}=\frac{3}{x-1}\)
\(\Rightarrow\left(x-1\right).\left(x-1\right)=12.3\)
\(\Rightarrow\left(x-1\right)^2=36\)
\(\Rightarrow\orbr{\begin{cases}\left(x-1\right)^2=6^2\\\left(x-1\right)^2=\left(-6\right)^2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-1=6\\x-1=-6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x=-5\end{cases}}\)
Vậy \(x=7;x=-5\)
\(\frac{x-1}{12}=\frac{3}{x-1}ĐKXĐ\left(x\ne1\right)\)
\(\left(x-1\right)^2=36\)
\(\left(x-1\right)^2=6^2\)
\(\Rightarrow\orbr{\begin{cases}x-1=6\\x-1=-6\end{cases}\Rightarrow\orbr{\begin{cases}x=7\\x=-5\end{cases}}}\)tm ))
a) ( x - 1954 ) .5 = 50
=> x - 1954 = 50 : 5 = 10
=> x = 10 + 1954 = 1964.
b) ( x - 1975 ) . 2017 = 0
=> x - 1975 = 0
=> x = 0 + 1975 = 1975.
c) ( 2x - 6 ) . ( x - 2 ) = 0
=> 2x - 6 = 0 hoặc x - 2 = 0.
=> 2x = 6 hoặc x = 2
=> x = 3 hoặc x = 2.
d) 456 - ( x + 23 ) = 326
=> x + 23 = 456 - 326 = 130
=> x = 130 - 23
=> x = 107
e) 84 + 4 . (2x + 1) = 48
=>4.(2x + 1) = 48 - 84 = -36
=>2x + 1 = -36 : 4 = -9
=>2x = -9 + 1 = -8
=>x = -8 : 2 = -4
a, ( x - 1954 ) . 5 = 50
x - 1954 = 50 : 5
x - 1954 = 10
x = 10 + 1954
x = 1964
Các câu khác tương tự nhé
ta đặt
\(A=2+2^2+2^3+..+2^x\)
\(\Rightarrow2A=2^2+2^3+..+2^x+2^{x+1}=\left(2+2^2+2^3+..+2^x\right)+2^{x+1}-1\)
\(\Leftrightarrow2A=A+2^{x+1}-1\Rightarrow A=2^{x+1}-1=2^{106}-1\)
\(\Rightarrow x+1=106\Leftrightarrow x=105\)
B1 : x + (x+1) + (x+2) + ...+ (x+35) = 0
x + x +1 + x+ 2+...+ x +35 = 0
x + x.35 + (1+2+...+35) = 0
x.36 + 630 =0
x.36 = -630
x = -630 : 36
x =- 17.5
a) \(\left(x+\frac{1}{2}\right).\left(\frac{2}{3}-2x\right)=0\)
\(\Rightarrow x+\frac{1}{2}=0\) \(\Rightarrow\frac{2}{3}-2x=0\)
\(x=\frac{-1}{2}\) \(2x=\frac{2}{3}\)
\(x=\frac{2}{3}:2\)
\(x=\frac{1}{3}\)
KL: x = -1/2 hoặc x= 1/3
b) \(\left|2x-\frac{1}{3}\right|+\frac{5}{6}=\frac{11}{6}\)
\(\left|2x-\frac{1}{3}\right|=1\)
TH1: \(2x-\frac{1}{3}=1\)
\(2x=\frac{4}{3}\)
\(x=\frac{2}{3}\)
TH2: \(2x-\frac{1}{3}=-1\)
\(2x=\frac{-2}{3}\)
\(x=\frac{-2}{3}:2\)
\(x=\frac{-1}{3}\)
KL: x =.........
Học tốt nhé bn!!!
x - 6 : 2 ( 48 - 24 ) : 2 : 6 - 3 = 0
x - 6 : 2 . 24 : 2 : 6 - 3 = 0
x - 6 - 3 = 0
x - 9 = 0
x = 9
x-6:2 ( 48-24) :2 :6 - 3 = 0
=>x-6:2(48-24):2:6= 3
=> x-6:2(48-24):2 = 18
=> x-6:2(48-24)= 36
=> x- 6:2. 24= 36
=> x- 6: 48= 36
=>x +8=36
=> x= 36-8
=>x= 28