Tìm x :
(1-x).(x-1)=-8.2
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8 . 2x-1 = 256
2x-1 = 256 : 8
2x-1 = 32
2x-1 = 25
=> x - 1 = 5
x = 5 + 1
x = 6
Ta có: 8.2x-1=256
=> 2x-1=256: 8
=> 2x-1=32
mà 25 = 32 . Nên x= 5+1 = 6
Vậy x = 6
8.2^3x.7^y=56^2x.5^x-1
=>8.8^x.7^y=(8.7)^2x.5^x-1
=>8^1+x.7^y=8^2x.7^2x.5^x-1
=>8^1+x.7^y / 8^2x.7^2x=5^x-1
=>8^x+1-2x . 7^y-2x = 5^x-1
=>8^1-x.7^y-2x=5^-(1-x)
=>8^1-x.7^y-2x=1/5^1-x
=>8^1-x.7^y-2x.5^1-x=1
=>(8.5)^x-1.7^y-2x=1
=>40^x-1.7^y-2x=1
=>x-1=0 và y-2x=0
=>x=1 và y=2
a) x -1/4 = -3/8 . 2/5
x - 1/4 = -3/20
x = -3/20 + 1/4
x = 1/10
b) x/126 = -7/24 . -6/11
x/126 = 7/44
\(\Rightarrow\)x = rỗng
a)125-3.(x+3)=65
3 .(x + 3) = 125 - 65
3. (x + 3) = 60
x + 3 = 60 : 3
x+3 = 20
x = 20-3
x=17
b) 8.2x = 128
2x = 128 : 8
2x = 16
2x = 24
=> x = 4
\(8.2^{3x}.7^y=56^{2x}.5^{x-1}\)
\(2^3.2^{3x}.7^y=7^{2x}.8^{2x}.5^{x-1}\)
\(2^{3+3x}.7^y=7^{2x}.2^{6x}.5^{x-1}\)
\(7^{2x}:7^y=2^{6x}:2^{3+3x}.5^{x-1}\)
\(7^{2x-y}=2^{6x-3-3x}.5^{x-1}\)
\(7^{2x-y}=2^{3x-3}.5^{x-1}\)
\(7^{2x-y}=2^{3x}:8.5^x:5\)
\(7^{2x-y}=8^x.5^x:40\)
\(7^{2x-y}=40^x:40\)
\(7^{2x-y}=40^{x-1}\)
\(\Rightarrow x=y=1\)
\(x\div4\frac{1}{3}=-2,5\)
\(\Leftrightarrow x\div\frac{13}{3}=\frac{-5}{2}\)
\(\Leftrightarrow x=\frac{-5}{2}.\frac{13}{3}\)
\(\Leftrightarrow x=\frac{-65}{6}\)
\(x\div\frac{-3}{5}=\frac{-10}{21}\)
\(\Leftrightarrow x=\frac{-10}{21}.\frac{-3}{5}\)
\(\Leftrightarrow x=\frac{30}{105}\)
\(\Leftrightarrow x=\frac{2}{7}\)
\(\frac{2}{3}x-\frac{1}{2}=\frac{1}{10}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{1}{10}+\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{6}{10}\)
\(\Leftrightarrow x=\frac{6}{10}\div\frac{2}{3}\)
\(\Leftrightarrow x=\frac{18}{20}\)
\(\Leftrightarrow x=\frac{9}{10}\)
\(\frac{1}{2}x+\frac{1}{2}=\frac{5}{2}\)
\(\Leftrightarrow\frac{1}{2}\left(x+1\right)=\frac{5}{2}\)
\(\Leftrightarrow\left(x+1\right)=\frac{5}{2}\div\frac{1}{2}\)
\(\Leftrightarrow\left(x+1\right)=5\)
\(\Leftrightarrow x=5-1\)
\(\Leftrightarrow x=4\)
\(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}\)
\(\left(\dfrac{-1}{2}\right)^8\times2^3=\dfrac{1}{256}\times8=\dfrac{1}{32}\)
1) \(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}=x^{12}\)
2) \(\left(-\dfrac{1}{2}\right)^8\cdot2^3=\dfrac{1}{256}\cdot8=\dfrac{1}{32}\)
\(4) 10-x:2=1 \)
\(=> x:2=10-1\)
\(=> x:2=9\)
\(=> x=9.2\)
\(=> x=18\). Vậy \(x=18\)
\(5) x:4+3.2=7\)
\(=> x:4+6=7\)
\(=> x:4=7-6\)
\(=> x:4=1\)
\(=> x=4\). Vậy \(x=4\)
\(6) 2:x+5=6\)
\(=> 2:x=6-5\)
\(=> 2:x=1\)
\(=> x=2\).Vậy \(x=2\)
\(7) 2.x.3.5=30\)
\(=> 2x.15=30\)
\(=>2x=30:15\)
\(=> 2x=2\)
\(=> x=1\).Vậy \(x=1\)
\(8)2.x:10.2=1\)
\(=> 2x=1:2.10\)
\(=> 2x=5\)
\(=>x=5:2\)
\(=> x=\frac{5}{2}\).Vậy \(x=\frac{5}{2}\)
\(9)18:x-5.2=8\)
\(=> 18:x-10=8\)
\(=>18:x=8+10\)
\(=>18:x=18\)
\(=> x=1\).Vậy \(x=1\)
\(10)5.5-2:x=24\)
\(=>25-2:x=24\)
\(=> 2:x=25-24\)
\(=>2:x=1\)
\(=>x=2\).Vậy \(x=2\)
(1 - x)(x - 1) = -8.2
=> -(1 - x)(x - 1) = 8.2
=> (x - 1)(x - 1) = 16
=> (x - 1)2 = 16
\(\Rightarrow\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}\Rightarrow}\orbr{\begin{cases}x=5\\x=-3\end{cases}}\)
Vậy, \(x\in\left\{-3;5\right\}\)