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\(2^{x+1}-2^x=3^2\)
\(\Rightarrow2^x\cdot\left(2-1\right)=9\)
\(\Rightarrow2^x=9\)
\(\Rightarrow x\in\varnothing\)
\(2^{x+1}-2^x=3^2\)
=>2^x*2-2^x=9
=>2^x=9
=>\(x\in\varnothing\)
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\(\dfrac{3}{x-5}=\dfrac{-4}{x+2}\left(x\ne5;-2\right).\\ \Leftrightarrow\dfrac{3}{x-5}+\dfrac{4}{x+2}=0.\\ \Leftrightarrow\dfrac{3x+6+4x-20}{\left(x-5\right)\left(x+2\right)}=0.\\ \Rightarrow7x=14.\\ \Leftrightarrow x=2\left(TM\right).\)
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\(\left(x+2\right)-2=0\)
\(\Rightarrow x+2-2=0\)
\(\Rightarrow x=0\)
\(\left(x+3\right)+1=7\)
\(\Rightarrow x+3+1=7\)
\(\Rightarrow x+4=7\)
\(\Rightarrow x=3\)
\(\left(3x-4\right)+4=12\)
\(\Rightarrow3x-4+4=12\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
\(\left(5x+4\right)-1=13\)
\(\Rightarrow5x+4-1=13\)
\(\Rightarrow5x+3=13\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
\(\left(4x-8\right)-3=5\)
\(\Rightarrow4x-8-3=5\)
\(\Rightarrow4x-11=5\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=4\)
\(8-\left(2x+4\right)=2\)
\(\Rightarrow8-2x-4=2\)
\(\Rightarrow4-2x=2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=1\)
\(7+\left(5x+2\right)=14\)
\(\Rightarrow7+5x+2=14\)
\(\Rightarrow9+5x=14\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=1\)
\(5-\left(3x-11\right)=1\)
\(\Rightarrow5-3x+11=1\)
\(\Rightarrow16-3x=1\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=5\)
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a) Ta có: 2x+33=-11
nên 2x=-44
hay x=-22
b) Ta có: \(\dfrac{x}{2}=\dfrac{-49}{14}\)
nên x=-7
c) Ta có: \(\dfrac{5}{6}x+\dfrac{10}{3}=\dfrac{7}{2}\)
nên \(\dfrac{5}{6}x=\dfrac{7}{2}-\dfrac{10}{3}=\dfrac{1}{6}\)
hay \(x=\dfrac{1}{6}:\dfrac{5}{6}=\dfrac{1}{5}\)
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Lời giải:
a.
$2(x-51)=7^{83}:7^{82}+20010=7+20010=20017$
$x-51=10008,5$
$x=10008,5+51=10059,5$
b.
$x-4x=1+600:(-6)$
$-3x=-99$
$x=\frac{-99}{-3}=33$
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\(a,\Rightarrow2\left(x-51\right)=7+20010=20017\\ \Rightarrow x-51=\dfrac{20017}{2}\\ \Rightarrow x=\dfrac{20119}{2}\\ b,\Rightarrow-3x=1-100=-99\\ \Rightarrow x=33\)
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Ta có: (4x + 3)\(⋮\)(x - 2) (x \(\ne\) 2)
\(\Rightarrow\) (4x - 8 + 15)\(⋮\)(x - 2)
\(\Rightarrow\) 4(x - 2) + 15 \(⋮\) (x - 2)
Vì 4(x - 2)\(⋮\)(x - 2) với mọi x \(\ne\) 2
\(\Rightarrow\) 15 \(⋮\) (x - 2)
\(\Rightarrow\) x - 2 \(\in\) Ư(15)
Xét các TH:
x - 2 = 15 \(\Rightarrow\) x = 17 (TM)
x - 2 = -15 \(\Rightarrow\) x = -13 (TM)
x - 2 = 1 \(\Rightarrow\) x = 3(TM)
x - 2 = -1 \(\Rightarrow\) x = 1(TM)
Vậy x = 17; x = -13; x = 3; x = 1
Chúc bn học tốt!
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\(a,\dfrac{2}{3}.x=\dfrac{2}{7}\\ x=\dfrac{2}{7}:\dfrac{2}{3}=\dfrac{3}{7}\\ ---\\ b,x.\dfrac{3}{5}=\dfrac{2}{5}\\ x=\dfrac{2}{5}:\dfrac{3}{5}=\dfrac{2}{3}\\ ---\\ c,x:\dfrac{8}{13}=\dfrac{13}{7}\\x=\dfrac{13}{7}.\dfrac{8}{13}=\dfrac{8}{7}\\ ----\\ d,\dfrac{3}{2}:x=\dfrac{7}{4}\\ x=\dfrac{3}{2}:\dfrac{7}{4}=\dfrac{3}{2}.\dfrac{4}{7}=\dfrac{6}{7}\)