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a/ \(\frac{2}{3}+\frac{4}{35}< \frac{x}{105}< \frac{1}{7}+\frac{2}{5}+\frac{1}{3}\)
\(\Rightarrow\frac{82}{105}< \frac{x}{105}< \frac{92}{105}\)
\(\Rightarrow82< x< 92\)
\(\Rightarrow x=\left\{83;84;85;86;87;88;89;90;91\right\}\)
b/ \(-\frac{7}{15}+\frac{8}{60}+\frac{24}{90}\le\frac{x}{15}\le\frac{3}{5}+\frac{8}{30}+-\frac{4}{10}\)
\(\Rightarrow-\frac{1}{15}\le\frac{x}{15}\le\frac{7}{15}\)
\(\Rightarrow-1\le x\le7\)
\(\Rightarrow x=\left\{-1;0;1;2;3;4;5;6;7\right\}\)
Ta có :\(\frac{x-1}{-2}=\frac{-8}{x-1}\Rightarrow\left(x-1\right)^2=16\Rightarrow\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-3\end{cases}}}\)
\(\frac{x-1}{-2}=\frac{-8}{x-1}\left(x\ne1\right)\)
\(\Leftrightarrow\left(x-1\right)\left(x-1\right)=-2\cdot\left(-8\right)\)
\(\Leftrightarrow\left(x-1\right)^2=16\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-3\end{cases}\left(tm\right)}}\)
Vậy x=5; x=-3
a)ta có xy=7*9=7*3*3
vậy x =9;21 , y=7;3
b) xy=-2*5
mà x<0<y
nên x=-2 ,y=5
c)x-y=5 hay x=y+5
\(\frac{y+5+4}{y-5}=\frac{4}{3}\Rightarrow3y+27=4y-20\Rightarrow y=47\Rightarrow x=52\)
Ta có : \(\frac{2}{-3}< \frac{x}{5}< \frac{-1}{6}\) với x thuộc Z
=> \(-\frac{20}{30}< \frac{6x}{30}< \frac{5}{50}\)
=> \(-20< 6x< 5\)
=> 6x thuộc {-19 ; -18 ; -17 ; ...;2;3;4}
Vì x thuộc Z
=> x thuộc {-3;-2;-1;0}
Vậy B=
a; \(\dfrac{-x}{4}\) = \(\dfrac{-2}{x}\)
-\(x.x\) = -2.4
-\(x^2\) = -8
\(x^2\) = 8
\(\left[{}\begin{matrix}x=-\sqrt{8}\\x=\sqrt{8}\end{matrix}\right.\)
Vậy \(x\in\) {-\(\sqrt{8}\); \(\sqrt{8}\)}
Ta có:
\(\frac{x+1}{x-2}=\frac{x-2+3}{x-2}=\frac{x-2}{x-2}+\frac{3}{x-2}=1+\frac{3}{x-2}\)
Để \(\left(x+1\right)⋮\left(x-2\right)\Rightarrow\left(x-2\right)\inƯ_{\left(3\right)}=\left\{\pm1;\pm3\right\}\)
\(x-2\) | \(-3\) | \(-1\) | \(1\) | \(3\) |
\(x\) | \(-1\) | \(1\) | \(3\) | \(5\) |
Vậy \(x=\left\{-1;1;3;5\right\}\)
\(\frac{x+1}{x-2}\)
\(=\frac{x-2+3}{x-2}\)
\(=1+\frac{3}{x-2}\)
Để \(\left(x+1\right)⋮\left(x-2\right)\)thì\(\left(x-2\right)\inƯ_3=\left\{\pm1;\pm3\right\}\)
Ta có bảng sau
\(x-2\) | \(-3\) | \(-1\) | \(1\) | \(3\) |
\(x\) | \(-1\) | \(1\) | \(3\) | \(5\) |
Vậy \(x\in\left\{\pm1;3;5\right\}\)
\(\frac{2}{x+1}=\frac{8}{x-2}\)
\(\Rightarrow2\left(x-2\right)=8\left(x+1\right)\)
\(\Rightarrow2x-4=8x+8\)
\(\Rightarrow2x-8x=8+4\)
\(\Rightarrow-6x=12\)
\(\Rightarrow x=12:\left(-6\right)\)
\(\Rightarrow x=-2\)
dễ