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nhân chéo là đc:
3(x+2)=-4(x-5)
3x+6=-4x+20
3x+4x=20-6
7x =14
x =2
Vậy x=2
\(\frac{x+3}{-4}=-\frac{9}{x+3}\)
\(\Leftrightarrow\left(x+3\right)\left(x+3\right)=-4\cdot\left(-9\right)\)
\(\Leftrightarrow\left(x+3\right)^2=36\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+3\right)^2=6^2\\\left(x+3\right)^2=\left(-6\right)^2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x+3=6\\x+3=-6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-9\end{cases}}\)
Vậy ....
quy đồng
\(\left(x+3\right)^2=36\)
\(\left(x+3\right)^2-6^2=0\)
áp dụng định lí " \(a^2-b^2=\left(a+b\right)\left(a-b\right)\) ta được
\(\left(x+3-6\right)\left(x+3+6\right)=0\)
\(x=3,x=-9\)
\(-52+\frac{2}{3}x=-46\)
\(\frac{2}{3}x=-46+52\)
\(\frac{2}{3}x=6\)
\(x=6:\frac{2}{3}\)
\(x=9\)
b) \(\left(2,4.x-36\right)\div1\frac{5}{7}=-1\)
\(\left(2,4.x-36\right)=-1.\frac{12}{7}\)
\(2,4.x-36=-\frac{12}{7}\)
\(2,4.x=-\frac{12}{7}+36\)
\(2,4.x=\frac{240}{7}\)
\(x=\frac{240}{7}\div2,4\)
\(x=\frac{100}{7}\)
= 10/3.x+ 67/4=-53/4
10/3.x=-53/4-67/4
10/3.x=-30
x=-30:10/3
x=-9
\(\frac{3-x}{5-x}=\left(\frac{3}{5}\right)^2\)
\(\Rightarrow\frac{3-x}{5-x}=\frac{9}{25}\)
\(\Rightarrow\left(3-x\right)25=9\left(5-x\right)\)
\(\Rightarrow75-25x=45-9x\)
\(\Rightarrow-25x+9x=45-75\)
\(\Rightarrow-16x=-30\)
\(\Rightarrow x=\frac{15}{8}\)
\(\frac{3}{5}+\frac{-1}{25}-\frac{7}{20}\)
\(=\frac{3}{5}-\frac{1}{25}-\frac{7}{20}\)
\(=\frac{60}{100}-\frac{4}{100}-\frac{35}{100}\)
\(=\frac{21}{100}\)
\(50\%x+\frac{2}{3}x=x-5\)
\(\Rightarrow\frac{1}{2}x+\frac{2}{3}x=x-5\)
\(\Rightarrow x\left(\frac{1}{2}+\frac{2}{3}\right)=x-5\)
\(\Rightarrow x.\frac{7}{6}=x-5\)
\(\Rightarrow x-\frac{7}{6}x=5\)
\(\Rightarrow\frac{-x}{6}=5\Leftrightarrow-x=30\Leftrightarrow x=-30\)
\(50\%x+\frac{2}{3}x=x-5\)
\(\frac{1}{2}x+\frac{2}{3}x=x-5\)
\(x\left(\frac{1}{2}+\frac{2}{3}\right)=x-5\)
\(x.\frac{7}{6}=x-5\)
\(x.\frac{7}{6}-x=-5\)
\(x.\frac{1}{6}=-5\)
\(x=\left(-5\right):\frac{1}{6}=-30\)
Vậy x= -30