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Thêm mỗi vế 13 đơn vị, ta có:
2x-13+13=5-x+13
2x=18-x
3x=18
x=18:3
x=6
Học tốt nha em.
\(2x-13=5-x\)
\(\Rightarrow2x+x=5+13\)
\(\Rightarrow3x=18\)
\(\Rightarrow x=6\)
\(a,\left(-31\right).\left(x+7\right)=0\\ \Rightarrow x+7=0\\ \Rightarrow x=-7\\ b,\left(8-x\right).\left(x+13\right)=0\\ \Rightarrow\left[{}\begin{matrix}8-x=0\\x+13=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-13\end{matrix}\right.\\ c,\left(x^2-25\right)\left(3-x\right)=0\\ \Rightarrow\left(x-5\right)\left(x+5\right)\left(3-x\right)=0\\\Rightarrow \left[{}\begin{matrix}x-5=0\\x+5=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\\x=3\end{matrix}\right.\\ d,\left(x-3\right)\left(x^2+4\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-3=0\\x^2+4=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x^2=-4\left(loại\right)\end{matrix}\right.\\ \Rightarrow x=3\)
\(\left(x+13\right)⋮\left(x-1\right)\)
\(\Rightarrow\left(x-1\right)+14⋮\left(x-1\right)\)
\(\Rightarrow\left(x-1\right)\inƯ\left(14\right)=\left\{-14;-7;-2;-1;1;2;7;14\right\}\)
\(\Rightarrow x\in\left\{-13;-6;-1;0;2;3;8;15\right\}\)
\(x+13⋮x-1\)
\(\Leftrightarrow x-1\in\left\{1;-1;2;-2;7;-7;14;-14\right\}\)
hay \(x\in\left\{2;0;3;-1;8;-6;15;-13\right\}\)
\(a,\left(8-x\right)\left(x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}8-x=0\\x+5=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=8\\x=-5\end{matrix}\right.\\ b,2x\left(x+81\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x=0\\x+81=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-81\end{matrix}\right.\)
a)\(\left(8-x\right)\left(x+5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}8-x=0\\x+5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=-5\end{matrix}\right.\)
b)\(2x\left(x+81\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2x=0\\x+81=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-81\end{matrix}\right.\)
\(\Rightarrow\left(x-1\right)\times y+2x-2=13-2\)
\(\Rightarrow\left(x-1\right)\times y+\left(2x-2\right)=11\)
\(\Rightarrow\left(x-1\right)\times y+2\left(x-1\right)=11\)
\(\Rightarrow\left(x-1\right)\times\left(y+2\right)=11\)
\(\Rightarrow11⋮x-1\)
\(\Rightarrow x-1\inƯ\left(11\right)=\left\{1;-1;11;-11\right\}\)
Lập bảng ra nhé !
Viết lại thành: (x-1)y+ 2x-2=11
<=> y.(x-1)+2(x-1)=11
<=> (x-1)(y+2)=11
Vậy ta có bảng sau:
x-1 | 1 | 11 |
y+2 | 11 | 1 |
x | 2 | 12 |
y | 9 | -1 |
a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)
\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{5}\)
c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)
\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-77}{120}\)
d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{-7}{20}\)
e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-59}{105}\)
g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
\(C=2\left(1+2+2^2+2^3+2^4\right)+...+2^{96}\left(1+2+2^2+2^3+2^4\right)\)
\(=31\left(2+...+2^{96}\right)⋮31\)
\(C=2\left(1+2+2^2+2^3\right)+...+2^{97}\left(1+2+2^2+2^3\right)\)
\(=15\cdot\left(2+...+2^{97}\right)⋮5\)
|x-1|=0
=>x-1=0
x=1
vậy x=1
-13 . | x| = -26
|x|=-26÷-13
|X|=2
⇒x ∈{2;-2}
vậy x ∈{2;-2}
a)|x-1|=0
=>x-1=0
=>x=1
b)-13.|x|=-26
=>|x|=-26:-13
=>|x|=2
=>\(x\in\left\{\pm2\right\}\)