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a)\(x-15\%x=\frac{1}{3}\)
\(x.\left(1-15\%\right)=\frac{1}{3}\)
\(x.\frac{-280}{3}=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{-280}{3}\)
\(x=\frac{-1}{280}\)
Vậy \(x=\frac{-1}{280}\)
b)\(\frac{4}{5}x-x-\frac{3}{2}x+\frac{6}{5}=\frac{1}{2}-\frac{4}{3}\)
\(-\frac{17}{10}x+\frac{6}{5}=\frac{-5}{6}\)
\(-\frac{17}{10}x=-\frac{5}{6}-\frac{6}{5}\)
\(-\frac{17}{10}x=\frac{-61}{30}\)
\(x=\frac{-61}{30}:\frac{-17}{10}\)
\(x=\frac{61}{51}\)
Vậy \(x=\frac{61}{51}\)
B=\(1+3^2+3^4+...+3^{100}\)
9B=\(3^2+3^4+...+3^{100}\)
9B-B=\(\left(3^2+3^4+...+3^{102}\right)-\left(1+3^2+3^4+...+3^{100}\right)\)
8B=\(3^{102}-1\)
B=\(\left(3^{102}-1\right):8\)
C=\(1+5^3+5^6+...+5^{99}\)
125C=\(5^3+5^6+5^9+...+5^{102}\)
125C-C=\(\left(5^3+5^6+5^9+...+5^{102}\right)-\left(1+5^3+5^6+...+5^{99}\right)\)
124C=\(5^{102}-1\)
C=\(\left(5^{102}-1\right):124\)
a) \(x+xy-y=8\)
\(\Leftrightarrow x.\left(1+y\right)-y=8\)
\(\Leftrightarrow x.\left(1+y\right)-y-1=8-1\)
\(\Leftrightarrow x.\left(1+y\right)-\left(1+y\right)=7\)
\(\Leftrightarrow\left(1+y\right).\left(x-1\right)=7\)
Lập bảng tìm tiếp
b) Ta có: \(\hept{\begin{cases}\left(x+2\right)^2\ge0\forall x\\\left(2y-6\right)^4\ge0\forall x\end{cases}}\)
\(\Rightarrow\left(x+2\right)^2+\left(2y-6\right)^4\ge0\forall x\)
Do đó \(\left(x+2\right)^2+\left(2y-6\right)^4=0\)
\(\Leftrightarrow\hept{\begin{cases}\left(x+2\right)^2=0\\\left(2y-6\right)^4=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=-2\\y=3\end{cases}}}\)
Vậy ...
bài làm
a) 2,5:x+1,5:x=100
2,5+1,5:x=100
4 :x=100
x=100:4
x=25
vậy x=25
b) \(\frac{5}{6}-x=\frac{5}{12}+\frac{1}{3}\)
\(\frac{5}{6}-x=\frac{5}{12}+\frac{4}{12}\)
\(\frac{5}{6}-x=\frac{9}{12}\)
\(x=\frac{5}{6}-\frac{9}{12}\)
\(x=\frac{10}{12}-\frac{9}{12}\)
\(x=\frac{1}{12}\)
vậy \(x=\frac{1}{12}\)
chúc bạn học tốt
2,5 : x + 1,5 : x = 100
\(\frac{2,5}{x}+\frac{1,5}{x}=100\)
\(\frac{2,5+1,5}{x}=100\)
\(\frac{4}{x}=100\)
x = 4 : 100 = 0,04
1:
a: \(=\dfrac{-4}{7}+\dfrac{4}{7}+\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=-\dfrac{1247}{1190}\)
b:
Sửa đề: \(\dfrac{-5}{13}+\dfrac{4}{19}+\dfrac{-8}{13}+\dfrac{15}{19}+\dfrac{45}{6}\)
\(=\dfrac{-5}{13}-\dfrac{8}{13}+\dfrac{4}{19}+\dfrac{15}{19}+\dfrac{45}{6}=\dfrac{9}{2}\)
\(6.\left(x-3\right)-4.\left(x+11\right)=5.\left(-4\right)+6\)
\(\Rightarrow6x-18-4x-44=-20+6\)
\(\Rightarrow6x-4x-18-44=-14\)
\(\Rightarrow2x-62=-14\)
\(\Rightarrow2x=-14+62\)
\(\Rightarrow2x=48\)
\(\Rightarrow x=\frac{48}{2}=24\)
Vậy x=24
Chúc bn học tốt
\(\text{6.(x-3)-4.(x+11)=5.(-4)+6}\)
\(6x-18-4x-44=-14\)
\(\left(6x-4x\right)+\left(-18-44\right)=-14\)
\(2x+\left(-62\right)=-14\)
\(2x=-14--62\)
\(2x=48\)
\(\Rightarrow x=24\)
học tốt