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Các bạn giúp mình giải với nhé! Đúng thì mình k đúng nhé. Cảm ơn các bạn nhiều lắm. Yêu cả nhà.
\(1.\left(x-5\right)^{23}.\left(y+2\right)^7=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-5\right)^{23}=0\\\left(y+2\right)^7=0\end{cases}\Rightarrow\hept{\begin{cases}\left(x-5\right)^{23}=0^{23}\\\left(y+2\right)^7=0^7\end{cases}}}\)\(\Rightarrow\hept{\begin{cases}x-5=0\\y+2=0\end{cases}\Rightarrow\hept{\begin{cases}x=0+5\\y=0-2\end{cases}}}\)\(\Rightarrow\hept{\begin{cases}x=5\\y=-2\end{cases}}\)
Vậy \(\left(x;y\right)=\left(5;-2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1,\dfrac{x}{9}=-\dfrac{16}{36}\)
\(\Leftrightarrow36x=-16\times9\)
\(\Leftrightarrow36x=-144\)
\(\Leftrightarrow x=-144:36\)
\(\Leftrightarrow x=-4\)
\(2,\dfrac{7}{x}=\dfrac{21}{-39}\)
\(\Leftrightarrow21x=7\times\left(-39\right)\)
\(\Leftrightarrow21x=-273\)
\(\Leftrightarrow x=-273:21\)
\(\Leftrightarrow x=-13\)
\(3,\dfrac{x}{5}=\dfrac{6}{-10}\)
\(\Leftrightarrow-10x=5\times6\)
\(\Leftrightarrow-10x=30\)
\(\Leftrightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có
\(-\frac{5}{6}+\frac{8}{3}+\frac{29}{-6}=\frac{-5+16-29}{6}=-\frac{18}{6}=-3\)
\(-\frac{1}{2}+2+\frac{5}{2}=2+2=4\)
vì vậy \(-3< x< 4\Rightarrow x\in\left\{-2,-1,0,1,2,3\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
=>\(\dfrac{9-y\left(x-5\right)}{3\left(x-5\right)}=\dfrac{1}{6}\)
=>\(\dfrac{18-2y\left(x-5\right)}{6\left(x-5\right)}=\dfrac{x-5}{6\left(x-5\right)}\)
=>18-2y(x-5)=x-5
=>(x-5)+2y(x-5)=18
=>(x-5)(2y+1)=18
=>\(\left(x-5;2y+1\right)\in\left\{\left(2;9\right);\left(6;3\right);\left(18;1\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(7;4\right);\left(11;1\right)\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)125 : x = 22 - (-1)
125 : x = 4 + 1
125 : x = 5
x = 125 : 5
x = 25
-------------------------------------------------
b) 2x - 8 = -4
2x = (-4) + 8
2x = 4
x = 4 : 2
x = 2
-----------------------------------------------------------
c) Xem lại đề.
\(125:x=2^2-\left(-1\right)\)
\(=>125:x=4+1\)
\(=>125:x=5\)
\(=>x=125:5\)
\(=>x=25\)
_____
\(2x-8=-4\)
\(=>2x=\left(-4\right)+8\)
\(=>2x=4\)
\(=>x=4:2\)
\(=>x=2\)
_______
\(6^{2x+5}=216\)
\(=>6^{2x+5}=6^3\)
\(=>2x+5=3\)
\(=>2x=3-5\)
\(=>2x=-2\)
\(=>x=\left(-2\right):2\)
\(=>x=-1\)
\(#NqHahh\)
x = 6