\(\frac{x+3}{-4}=-\frac{9}{x+3}\)

\(\Leftrightarrow\left(x+3\right)\left(x+3\right)=-4\cdot\left(-9\right)\)

\(\Leftrightarrow\left(x+3\right)^2=36\)

\(\Leftrightarrow\orbr{\begin{cases}\left(x+3\right)^2=6^2\\\left(x+3\right)^2=\left(-6\right)^2\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x+3=6\\x+3=-6\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-9\end{cases}}\)

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

\(\left(x+3-6\right)\left(x+3+6\right)=0\)

\(x=3,x=-9\)

nhân chéo: 

(x+3)(x+3)=-4.(-9)

(x+3)^2   =36

Hai TH: 

TH1: x+3=6

=>   x=3

TH2: x+3=-6

=>  x=-9

Vậy x=3 hoặc x=-9

= 10/3.x+ 67/4=-53/4

   10/3.x=-53/4-67/4

   10/3.x=-30

   x=-30:10/3

   x=-9

\(-52+\frac{2}{3}x=-46\)

\(\frac{2}{3}x=-46+52\)

\(\frac{2}{3}x=6\)

\(x=6:\frac{2}{3}\)

\(x=9\)

x=9 nha bn

đúng nha

Happy new year!!

\(-52+\frac{2}{3}x=-46\)

\(\Rightarrow\frac{2}{3}x=-46-\left(-52\right)\)

\(\Rightarrow\frac{2}{3}x=6\)

\(\Rightarrow x=9\)

b) \(\left(2,4.x-36\right)\div1\frac{5}{7}=-1\)

\(\left(2,4.x-36\right)=-1.\frac{12}{7}\)

\(2,4.x-36=-\frac{12}{7}\)

\(2,4.x=-\frac{12}{7}+36\)

\(2,4.x=\frac{240}{7}\)

\(x=\frac{240}{7}\div2,4\)

\(x=\frac{100}{7}\)

a) \(\frac{3}{x-5}=\frac{-4}{x+2}\)

\(\Rightarrow3.\left(x+2\right)=-4.\left(x-5\right)\)

\(\Rightarrow3x+6=-4x+20\)

\(\Rightarrow7x=14\)

\(\Rightarrow x=2\)

Câu c tương tự nhé. 

\(4\left(x+1\right)^2=\sqrt{2\left(x^4+x^2+1\right)}\)

\(\Leftrightarrow16\left(x+1\right)^4=2\left(x^4+x^2+1\right)\)

\(\Leftrightarrow\left(x^2+3x+1\right)\left(7x^2+11x+7\right)=0\)

\(\sqrt{\frac{x+56}{16}+\sqrt{x-8}}=\frac{x}{8}\)

\(\Leftrightarrow2\sqrt{x+56+16\sqrt{x-8}}=x\)

\(\Leftrightarrow2\sqrt{\left(\sqrt{x-8}+8\right)^2}=x\)

\(\Leftrightarrow2\sqrt{x-8}+16=x\)

\(\Leftrightarrow x=24\)

\(3\frac{1}{3}x+16\frac{3}{4}=-13,25\)

\(\frac{10}{3}x+\frac{67}{4}=\frac{-53}{4}\)

\(\frac{10}{3}x=-30\)

\(x=-9\)

\(3\frac{1}{3}x+16\frac{3}{4}=-13,25\)

\(\frac{10}{3}x+\frac{67}{4}=\frac{-53}{4}\)

\(\frac{10}{3}x=-30\)

\(x=-9\)

\(3\frac{1}{3}x+16\frac{3}{4}=-13,25\)

\(\frac{10}{3}x=-13,25-16\frac{3}{4}\)

\(\frac{10}{3}x=-30\)

\(x=-9\)

\(\frac{1}{2}x-\frac{1}{4}=\frac{-1}{2}\)

\(\frac{1}{2}x=\frac{-1}{2}+\frac{1}{4}\)

\(\frac{1}{2}x=\frac{-2+1}{4}\)

\(\frac{1}{2}x=\frac{-1}{4}\)

\(x=\frac{-1}{4}:\frac{1}{2}\)

\(x=\frac{-1}{4}.2\)

\(x=\frac{-1}{2}\)

Vậy .....................

\(\frac{1}{2}x-\frac{1}{4}=-\frac{1}{2}\)

\(\frac{1}{2}x=-\frac{1}{2}+\frac{1}{4}\)

\(\frac{1}{2}x=-\frac{2}{4}+\frac{1}{4}\)

\(\frac{1}{2}x=-\frac{1}{4}\)

\(x=-\frac{1}{4}:\frac{1}{2}\)

\(x=-\frac{1}{4}\cdot2\)

\(x=-\frac{1}{2}\)

Vậy .....

\(\frac{1}{2}x-\frac{1}{4}=-\frac{1}{2}\)

\(\frac{1}{2}x=-\frac{1}{2}+\frac{1}{4}\)

\(\frac{1}{2}x=-\frac{1}{4}\)

\(x=-\frac{1}{4}:\frac{1}{2}\)

\(x=-\frac{1}{2}\)

\(50\%x+\frac{2}{3}x=x-5\)

\(\Rightarrow\frac{1}{2}x+\frac{2}{3}x=x-5\)

\(\Rightarrow x\left(\frac{1}{2}+\frac{2}{3}\right)=x-5\)

\(\Rightarrow x.\frac{7}{6}=x-5\)

\(\Rightarrow x-\frac{7}{6}x=5\)

\(\Rightarrow\frac{-x}{6}=5\Leftrightarrow-x=30\Leftrightarrow x=-30\)

\(50\%x+\frac{2}{3}x=x-5\)

\(\frac{1}{2}x+\frac{2}{3}x=x-5\)

\(x\left(\frac{1}{2}+\frac{2}{3}\right)=x-5\)

\(x.\frac{7}{6}=x-5\)

\(x.\frac{7}{6}-x=-5\)

\(x.\frac{1}{6}=-5\)

\(x=\left(-5\right):\frac{1}{6}=-30\)

Vậy x= -30

\(\frac{3}{4}+\frac{1}{5}:\frac{7}{10}\)

\(=\frac{3}{4}+\frac{2}{7}\)

\(=\frac{29}{28}\)

\(\frac{3}{4}\)+    \(\frac{1}{5}\):    \(\frac{7}{10}\)=    \(\frac{3}{4}\)+    \(\frac{2}{7}\)

                                         =    \(\frac{28}{28}\)=    1

3/4 + 1/5 : 7/10 = 3/4 + 2/7 = 21/28 + 8/28 = 29/28