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\(a)\frac{3}{4}+\frac{2}{5}x=\frac{29}{60}\)
\(\)TỰ LÀM NHA HIHI
MI SUỐT NGÀY NGỒI MÁY TÍNH LƯỚT FACE, LÚC NÀO ĐI QUA CŨNG THẤY
a: \(\Leftrightarrow4x+\dfrac{3}{4}=2\cdot\dfrac{2}{5}+0.01\cdot10=\dfrac{9}{10}\)
=>4x=3/20
hay x=3/80
b: \(\Leftrightarrow\left|x\right|=4+\dfrac{1}{8}-9=-\dfrac{39}{8}\)(vô lý)
c: 2x(x-2/3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-\dfrac{2}{3}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{2}{3}\end{matrix}\right.\)
d: \(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
=>259-7x=3x+39
=>-10x=-220
hay x=22
a) \(\sqrt{16}x+\frac{3}{4}=2\sqrt{\frac{4}{25}}+0,01.\sqrt{100}\)
=> \(4x+\frac{3}{4}=2\cdot\frac{2}{5}+0,01\cdot10\)
=> \(4x+\frac{3}{4}=\frac{4}{5}+0,1\)
=> \(4x+\frac{3}{4}=0,9\)
=> \(4x=0,9-\frac{3}{4}\)
=> \(4x=0,15\)
=> \(x=0,15:4=0,0375\)
b) \(\left(x-\frac{2}{5}\right)\left(x+\frac{3}{7}\right)=0\)
=> \(\orbr{\begin{cases}x-\frac{2}{5}=0\\x+\frac{3}{7}=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{2}{5}\\x=-\frac{3}{7}\end{cases}}\)
a) \(\sqrt{16x}+\frac{3}{4}=2\sqrt{\frac{4}{25}}+0,01\cdot\sqrt{100}\)
=> \(\sqrt{16}\cdot\sqrt{x}+\frac{3}{4}=2\cdot\frac{2}{5}+\frac{1}{100}\cdot10\)
=> \(4\cdot\sqrt{x}+\frac{3}{4}=\frac{4}{5}+\frac{1}{10}\cdot1\)
=> \(4\cdot\sqrt{x}+\frac{3}{4}=\frac{4}{5}+\frac{1}{10}\)
=> \(4\cdot\sqrt{x}+\frac{3}{4}=\frac{8}{10}+\frac{1}{10}=\frac{9}{10}\)
=> \(4\cdot\sqrt{x}=\frac{9}{10}-\frac{3}{4}=\frac{3}{20}\)
=> \(\sqrt{x}=\frac{3}{20}:4\)
=> \(\sqrt{x}=\frac{3}{80}\)
=> \(x=\frac{9}{6400}\)
Vậy x = 9/6400
b) \(2\frac{3}{4}x=3\frac{1}{7}:0,01\)
=> \(\frac{11}{4}x=\frac{22}{7}:\frac{1}{100}\)
=> \(\frac{11}{4}x=\frac{22}{7}\cdot100\)
=> \(\frac{11}{4}x=\frac{2200}{7}\)
=> \(x=\frac{2200}{7}:\frac{11}{4}=\frac{2200}{7}\cdot\frac{4}{11}=\frac{800}{7}\)
Vậy x = 800/7
c) \(\left|x\right|+3^2=2^2+\left(\frac{1}{2}\right)^3\)
=> \(\left|x\right|+9=4+\frac{1}{8}\)
=> \(\left|x\right|+9=\frac{33}{8}\)
=> \(\left|x\right|=\frac{33}{8}-9=-\frac{39}{8}\)
Vì \(\left|x\right|\ge0\)mà \(-\frac{39}{8}< 0\)
=> x không thỏa mãn
1a) \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
=> \(\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}=4x-1\\\frac{3}{2}x+\frac{1}{2}=1-4x\end{cases}}\)
=> \(\orbr{\begin{cases}-\frac{5}{2}x=-\frac{3}{2}\\\frac{11}{2}x=\frac{1}{2}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{5}{3}\\x=\frac{1}{11}\end{cases}}\)
b) \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
=>\(\left|\frac{5}{4}x-\frac{7}{2}\right|=\left|\frac{5}{8}x+\frac{3}{5}\right|\)
=> \(\orbr{\begin{cases}\frac{5}{4}x-\frac{7}{2}=\frac{5}{8}x+\frac{3}{5}\\\frac{5}{4}x-\frac{7}{2}=-\frac{5}{8}x-\frac{3}{5}\end{cases}}\)
=> \(\orbr{\begin{cases}\frac{5}{8}x=\frac{41}{10}\\\frac{15}{8}x=\frac{29}{10}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{164}{25}\\x=\frac{116}{75}\end{cases}}\)
c) TT
a, \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
=> \(\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}=4x-1\\-\frac{3}{2}x-\frac{1}{2}=4x-1\end{cases}}\)
=> \(\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}-4x=-1\\-\frac{3}{2}x-\frac{1}{2}-4x=-1\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{3}{5}\\x=\frac{1}{11}\end{cases}}\)
\(b,\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
=> \(\left|\frac{5}{4}x-\frac{7}{2}\right|-0=\left|\frac{5}{8}x+\frac{3}{5}\right|\)
=> \(\frac{\left|5x-14\right|}{4}=\frac{\left|25x+24\right|}{40}\)
=> \(\frac{10(\left|5x-14\right|)}{40}=\frac{\left|25x+24\right|}{40}\)
=> \(\left|50x-140\right|=\left|25x+24\right|\)
=> \(\orbr{\begin{cases}50x-140=25x+24\\-50x+140=25x+24\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{164}{25}\\x=\frac{116}{75}\end{cases}}\)
c, \(\left|\frac{7}{5}x+\frac{2}{3}\right|=\left|\frac{4}{3}x-\frac{1}{4}\right|\)
=> \(\orbr{\begin{cases}\frac{7}{5}x+\frac{2}{3}=\frac{4}{3}x-\frac{1}{4}\\-\frac{7}{5}x-\frac{2}{3}=\frac{4}{3}x-\frac{1}{4}\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{55}{4}\\x=-\frac{25}{164}\end{cases}}\)
Bài 2 : a. |2x - 5| = x + 1
TH1 : 2x - 5 = x + 1
=> 2x - 5 - x = 1
=> 2x - x - 5 = 1
=> 2x - x = 6
=> x = 6
TH2 : -2x + 5 = x + 1
=> -2x + 5 - x = 1
=> -2x - x + 5 = 1
=> -3x = -4
=> x = 4/3
Ba bài còn lại tương tự
\(2\frac{3}{4}x=3\frac{1}{7}:0,01\)
\(\Leftrightarrow\frac{11}{4}x=\frac{22}{7}:\frac{1}{100}\)
\(\Leftrightarrow\frac{11}{4}x=\frac{2200}{7}\)
\(\Leftrightarrow x=\frac{2200}{7}:\frac{11}{4}\)
\(\Leftrightarrow x=\frac{800}{7}\)
Vậy ..................
\(2\frac{3}{4}x=3\frac{1}{7}:0,01\)
\(\Rightarrow\frac{11}{4}x=\frac{22}{7}:\frac{1}{100}\)
\(\Rightarrow\frac{11}{4}x=\frac{2200}{7}\)
\(\Rightarrow x=\frac{2200}{7}:\frac{11}{4}\)
\(\Rightarrow x=\frac{800}{7}\)
Vậy \(x=\frac{800}{7}.\)
Chúc bạn học tốt!