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\(\dfrac{-12}{13}x-5=6\dfrac1{13} \\\Leftrightarrow \dfrac{-12}{13}x=6\dfrac1{13}+5 \\\Leftrightarrow \dfrac{-12}{13}x=\dfrac{144}{13} \\\Leftrightarrow x=\dfrac{144}{13}:\dfrac{-12}{13} \\\Leftrightarrow x=-12\)
\(\dfrac{-12}{13}x-5=6\dfrac{1}{13}\)
\(\Leftrightarrow\dfrac{-12}{13}x=6\dfrac{1}{13}+5\)
\(\Leftrightarrow\dfrac{-12}{13}x=\dfrac{79}{13}+\dfrac{65}{13}\)
\(\Leftrightarrow\dfrac{-12}{13}x=\dfrac{79+65}{13}\)
\(\Leftrightarrow\dfrac{-12}{13}x=\dfrac{144}{13}\)
\(\Leftrightarrow x=\dfrac{144}{13}:\dfrac{-12}{13}\)
\(\Leftrightarrow x=\dfrac{144}{13}.\dfrac{13}{-12}\)
\(\Leftrightarrow x=\dfrac{1872}{156}\)
\(\Leftrightarrow x=12\)
Vậy \(x=12\)
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a) \(x+\dfrac{1}{2}=2^5:2^3\)
\(\Rightarrow x+\dfrac{1}{2}=2^{5-3}\)
\(\Rightarrow x+\dfrac{1}{2}=2^2\)
\(\Rightarrow x+\dfrac{1}{2}=4\)
\(\Rightarrow x=4-\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{7}{2}\)
Vậy \(x=\dfrac{7}{2}\)
b) \(\dfrac{2}{3}+\dfrac{5}{3}x=\dfrac{5}{7}\)
\(\Rightarrow\dfrac{5}{3}x=\dfrac{5}{7}-\dfrac{2}{3}\)
\(\Rightarrow\dfrac{5}{3}x=\dfrac{1}{21}\)
\(\Rightarrow x=\dfrac{1}{21}:\dfrac{5}{3}\)
\(\Rightarrow x=\dfrac{1}{21}.\dfrac{3}{5}\)
\(\Rightarrow x=\dfrac{1}{35}\)
Vậy \(x=\dfrac{1}{35}\)
c) \(\left|x+5\right|-6=9\)
\(\Leftrightarrow\left|x+5\right|=9+6\)
\(\Leftrightarrow\left|x+5\right|=15\)
Xét trường hợp 1: \(x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
Xét trường hợp 2: \(x+5=-15\)
\(\Rightarrow x=-15-5\)
\(\Rightarrow x=-\left(15+5\right)\)
\(\Rightarrow x=-20\)
Vậy \(x=10\) hoặc \(x=-20\)
a)\(\dfrac{0,4}{x}=\dfrac{x}{0,9}\Rightarrow x^2=0,4.0,9=0,36\Rightarrow x=0,6;-0,6\)
\(b)\dfrac{0,2}{1\dfrac{1}{5}}=\dfrac{\dfrac{2}{3}}{6x+7}\Rightarrow6x+7=\dfrac{1\dfrac{1}{5}.\dfrac{2}{3}}{0,2}=4\Rightarrow6x=-3\Rightarrow x=-\dfrac{3}{6}=-\dfrac{1}{2}\)
c)\(\dfrac{13\dfrac{1}{3}}{1\dfrac{1}{3}}=\dfrac{26}{2x+1}\Rightarrow2x+1=\dfrac{1\dfrac{1}{3}.26}{13\dfrac{1}{3}}=2,6\Rightarrow2x=1,6\Rightarrow x=0,8\)
d) mk ko hiểu
e)\(\dfrac{-2,6}{x}=\dfrac{-12}{42}\Rightarrow x=\dfrac{-2,6.42}{-12}=9,1\)
f)\(\dfrac{x^2}{6}=\dfrac{24}{25}\Rightarrow x^2=\dfrac{6.24}{25}=5,76\Rightarrow x=-2,4;2,4\)
n)mk chịu thua
xin lỗi bạn nha
\(\left|\frac{5}{-4}\right|-\left|\frac{1}{-3}\right|+-\frac{5}{6}-4\frac{1}{2}\)
\(=\left|-\frac{5}{4}\right|-\left|\frac{-1}{3}\right|+\frac{-5}{6}-\frac{9}{2}\)
\(=\frac{5}{4}-\frac{1}{3}+\frac{-5}{6}-\frac{9}{2}=-\frac{53}{12}\)
\(\frac{5}{8}-\left|-\frac{1}{12}\right|-3\frac{1}{4}+\left|-\frac{5}{6}\right|\)
\(=\frac{5}{8}-\frac{1}{12}-\frac{13}{4}+\frac{5}{6}=-\frac{15}{8}\)
\(\frac{3}{-7}+\left|-\frac{5}{12}\right|+3\frac{1}{4}+\left|-\frac{5}{6}\right|\)
\(=\frac{-3}{7}+\frac{5}{12}+\frac{13}{4}+\frac{5}{6}=\frac{57}{14}\)
\(1\frac{3}{5}-\left|\frac{1}{-4}\right|+\frac{2}{-3}-\left|-\frac{1}{2}\right|\)
\(=\frac{8}{5}-\left|\frac{-1}{4}\right|+\frac{-2}{3}-\frac{1}{2}\)
\(=\frac{8}{5}-\frac{1}{4}+\frac{-2}{3}-\frac{1}{2}\)
\(=\frac{27}{20}+\frac{-7}{6}=\frac{27}{20}-\frac{7}{6}=\frac{11}{60}\)
g(x) = x14 - 13x13 + 13x12 - 13x11 + ... + 13x2 - 13x + 15
= x14 - (12 + 1)x13 + (12 + 1)x12 - (12 + 1)x11 + ... + (12 + 1)x2 - (12 + 1)x + 15
Tại x = 12 thì ta có:
g(12) = x14 - (x + 1)x13 + (x + 1)x12 - (x + 1)x11 + ... + (x + 1)x2 - (x + 1)x + 15
= x14 - x14 - x13 + x13 + x12 - x12 - x11 + ... + x3 + x2 - x2 - x + 15
= -x + 15
Thay x = 12, ta có:
g(12) = -12 + 15 = 3
Vậy g(12) = 3
6x1/13+5:-12/13=x
-71/12=x
- 1/13x - 5 = 6 + 1/13
x = - 1/12