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b) \(|x-7|=\frac{1}{4}+|\frac{-5}{3}+\frac{1}{3}|\)
\(\Leftrightarrow|x-7|=\frac{1}{4}+\frac{4}{3}\)
\(\Leftrightarrow|x-7|=\frac{19}{12}\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=\frac{19}{12}\\x-7=\frac{-19}{12}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{103}{12}\\x=\frac{65}{12}\end{cases}}\)
Phần a bạn nhầm lẫn rồi nhé có 2 dấu bằng
\(c,|x+5|=\frac{1}{7}-|\frac{4}{3}-\frac{1}{6}|\)
\(\Rightarrow|x+5|=\frac{1}{7}-\frac{7}{6}\)
\(\Rightarrow|x+5|=-\frac{43}{42}\)
mà \(|x+5|\ge0\)
\(\Rightarrow\text{không tìm thấy giá trị của x}\)
1) \(\left(-5\right)\times\left(2-x\right)+4\times\left(x-3\right)=10x-15\)
\(\left(-10\right)+5x+4x-12=10x-15\)
\(\Rightarrow5x+4x-10x=-15+10+12\)
\(-x=7\)
\(x=-7\)
mấy phần còn lại, bn lm tương tự nha!
\(\frac{2^5+2^6+2^7+2^8}{2^9+2^{10}+2^{11}+2^{12}}\)
\(=\frac{1\left(2^5+2^6+2^7+2^8\right)}{2^4\left(2^5+2^6+2^7+2^8\right)}\)
\(=\frac{1}{2^4}=\frac{1}{16}\)
Ta có \(\frac{1}{16}< \frac{1}{6}\)
=> \(\frac{2^5+2^6+2^7+2^8}{2^9+2^{10}+2^{11}+2^{12}}< \frac{1}{6}\)
So sánh \(\frac{2^5+2^6+2^7+2^8}{2^9+2^{10}+2^{11}+2^{12}}\) với \(\frac{1}{6}\) ?
Ta có: \(\frac{2^5+2^6+2^7+2^8}{2^9+2^{10}+2^{11}+2^{12}}=\frac{2^5.\left(1+2+2^2+2^3\right)}{2^9.\left(1+2+2^2+2^3\right)}\)
\(=\frac{1}{2^4}=\frac{1}{16}< \frac{1}{6}\)
Vậy \(\frac{2^5+2^6+2^7+2^8}{2^9+2^{10}+2^{11}+2^{12}}< \frac{1}{6}\)
\(a;\left(x+1\right)\times\left(x+3\right)-x\times\left(x+2\right)=7\)
\(\Leftrightarrow x^2+4x+3-x^2-2x=7\)
\(\Leftrightarrow2x+3=7\Rightarrow x=\frac{7-3}{2}=2\)
Vậy x=2
\(b;2x\left(3x+5\right)-x\left(6x-1\right)=33\)
\(\Leftrightarrow6x^2+10x-6x^2+x=33\)
\(\Leftrightarrow11x=33\Leftrightarrow x=3\)
Vậy x=3
\(a,\frac{1}{3}x+\frac{2}{5}\left(x-1\right)=0\)
\(\frac{\Rightarrow1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(\Rightarrow x\left(\frac{1}{3}+\frac{2}{5}\right)=\frac{2}{5}\)
\(\frac{\Rightarrow11}{15}x=\frac{2}{5}\)
\(\Rightarrow x=\frac{2}{5}:\frac{11}{15}\)
\(\Rightarrow x=\frac{6}{11}\)
\(b,\frac{1}{3}+\frac{2}{3}:x=-7\)
\(\frac{2}{3}:x=-7-\frac{1}{3}\)
\(\frac{2}{3}:x=-\frac{22}{3}\)
\(x=\frac{2}{3}:\left(-\frac{22}{3}\right)\)
\(x=-\frac{1}{11}\)
\(\text{Vậy }x=-\frac{1}{11}\)