26 x 5x-1 - 5x-1 = 125
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12.(x-3):3=64+8
12.(x-3):3=72
12.(x-3) =72.3
12.(x-3) =216
x-3 =216:12
x-3 =18
x =18+3
x =21
100-7.(x-5)=65
7.(x-5)=100-65
7.(x-5)=35
x-5=35:7
x-5=5
x =5+5
x =10
Vậy x = 10
\(125:5^x+5^2=26\)
\(\Rightarrow125:5^x+25=26\)
\(\Rightarrow125:5^x=26-25\)
\(\Rightarrow125:5^x=1\)
\(\Rightarrow5^x=125:1\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
a) x = 4
b) x = 5
c) x = 2
d) x = 2
e, x = 1
f, x = 0 hoặc x = 1
a) x = 4
b) x = 5
c) x = 2
d) x = 2
e) x = 1
f) x = 0 hoặc x = 1.
a) \(\Rightarrow x\left(x+3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-3\end{matrix}\right.\)
b) \(\Rightarrow x\left(x^2-4\right)=0\Rightarrow x\left(x-2\right)\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
c) \(\Rightarrow\left(x-1\right)\left(5x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\)
d) \(\Rightarrow2\left(x+5\right)-x\left(x+5\right)=0\Rightarrow\left(x+5\right)\left(2-x\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-5\\x=2\end{matrix}\right.\)
e) \(\Rightarrow2x^2-10x-3x-2x^2=26\)
\(\Rightarrow-13x=26\Rightarrow x=-2\)
f) \(\Rightarrow\left(x-2012\right)\left(5x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2012\\x=\dfrac{1}{5}\end{matrix}\right.\)
\(x-\frac{1}{3}x+\frac{1}{5}x=\frac{-26}{x}\)
\(x-\frac{5}{15}x+\frac{3}{15}x=\frac{-26}{x}\)
\(x.\left(1-\frac{5}{15}+\frac{3}{15}\right)=\frac{-26}{x}\)
\(x.\left(\frac{15}{15}-\frac{5}{15}+\frac{3}{15}\right)=\frac{-26}{x}\)
\(x.\frac{13}{15}=\frac{-26}{x}\)
\(\frac{13x}{15}=\frac{-26}{x}\)
\(13x.x=-26.15\)
\(13x^2=-390\)
\(x^2=-390:13\)
\(x^2=-30\)
\(\frac{x+1}{5x}-\frac{1}{3x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{\left(x-1\right)3-5}{15x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{3x+3-5}{15x}+\frac{26}{5}=0\Leftrightarrow\frac{3x-2+26.3x}{15x}=0\)
\(\Leftrightarrow\)\(\frac{81x-2}{15x}=0\)
\(\Rightarrow81x-2=0\Rightarrow x=\frac{2}{81}\)
x + 1/5x - 1/3x = -26/5
x(1 + 1/5 - 1/3) = -26/5
13/15x = -26/5
x = -26/5 : 13/15
x = -6
\(26\times5^{x-1}-5^{x-1}=125\)
\((26-1)\times5^{x-1}=125\)
\(5^2\times5^{x-1}=5^3\)
\(5^{x-1}=5^3\div5^2\)
\(5^{x-1}=5\)
\(\Rightarrow x-1=1\)
\(x=1+1=2\)
26 x 5x-1 - 5x-1 = 125
26 x 5x-1 - 5x-1 x 1=125
( 26 - 1 ) x 5x-1 =125
25 x 5x-1 =125
5x-1=125 : 25
5x-1 = 5
5x-1= 51
=> x - 1 = 1
x = 1 + 1
x = 2
Vậy x = 2
( học tốt nhé! )