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-2(-x - 5)+ 18 = 20 - 3(x + 4)
=> 2x + 10 + 18 = 20 - 3x - 12
=> 2x + 3x = -12 - 18 - 10
=> 5x = -40
=> x = -40/5
=> x = -8
\(\left|-9-x\right|-5=12\)
\(\Leftrightarrow\left|-9-x\right|=12+5\)
\(\Leftrightarrow\left|-9-x\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}-9-x=17\\-9-x=-17\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-9-17\\x=-9-\left(-17\right)\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-36\\x=8\end{cases}}}\)
Vậy \(x=-36\)hoặc \(x=8\)
a) \(2x^2-72=0\)
\(\Leftrightarrow2\left(x^2-36\right)=0\Leftrightarrow x^2-36=0\Leftrightarrow x=_-+6\)
\(2x^2-72=0\)
\(\Leftrightarrow2x^2=72\)
\(\Leftrightarrow x^2=36\)
\(\Leftrightarrow x=\sqrt{36}=6\)
b) số xấu
\(\left[\frac{3}{4}-x\right]^3=-8\)
\(\Leftrightarrow\left[\frac{3}{4}-x\right]^3=\left(-2\right)^3\)
\(\Leftrightarrow\frac{3}{4}-x=-2\)
\(\Leftrightarrow x=\frac{3}{4}-\left(-2\right)\)
\(\Leftrightarrow x=\frac{3}{4}+2=\frac{3}{4}+\frac{8}{4}=\frac{11}{4}\)
\(E=\frac{3^2}{8.11}+\frac{3^2}{11.14}+\frac{3^2}{14.17}+...+\frac{3^2}{197.200}\)
\(=\frac{9}{8.11}+\frac{9}{11.14}+\frac{9}{14.17}+...+\frac{9}{197.200}\)
\(\Rightarrow\frac{1}{3}.E=\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+...+\frac{3}{197.200}\)
\(=\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+...+\frac{1}{197}-\frac{1}{200}\)
\(=\frac{1}{8}-\frac{1}{200}=\frac{3}{25}\)
\(\Rightarrow E=\frac{3}{25}\div\frac{1}{3}=\frac{9}{25}\)
Lời giải:
Cần bổ sung điều kiện $x$ là số nguyên.
Ta có:
$x+8\vdots x+1$
$\Rightarrow (x+1)+7\vdots x+1$
$\Rightarrow 7\vdots x+1$
$\Rightarrow x+1\in\left\{1; -1;7;-7\right\}$
$\Rightarrow x\in\left\{0; -2; 6; -8\right\}$
a) \(13-18-\left(-42\right)-15\)
\(=13-18+42-15\)
\(=\left(13-18-15\right)+42\)
\(=-20+42\)
\(=22\)
b) \(369-4.\left[-5+4.\left(-8\right)\right]\)
\(=369-4.\left[-5+\left(-32\right)\right]\)
\(=369-4.\left(-37\right)\)
\(=369+148\)
\(=517\)
c) \(\left(-8\right)^3\div\left(-8\right)^2+8\)
\(=-8+8\)
\(=0\)
d) \(\left(-12\right).\left(-13\right)+13.\left(-29\right)\)
\(=12.13+13.\left(-29\right)\)
\(=13.\left(-29+12\right)\)
\(=13.\left(-17\right)\)
\(=-221\)
\(6x-\left(-5\right)=17\)
\(6x+5=17\)
\(6x=17-5\)
\(6x\)\(=12\)
\(x=12:6\)
\(x=2\)
Chúc cậu hk tốt ~
\(6x-(-5)=17\)
\(6x=17+(-5)\)
\(6x=12\)
\(x=12\div6\)
\(x=2\)
Vậy x = 2
\(|x-5|=8\)
\(=>\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}}\)
\(=>\orbr{\begin{cases}x=8+5\\x=-8+5\end{cases}}\)
\(=>\orbr{\begin{cases}x=13\\x=-3\end{cases}}\)
\(\left|x-5\right|=8\)
\(\Rightarrow\orbr{\begin{cases}x-5=-8\\x-5=8\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-8+5\\x=8+5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-3\\x=13\end{cases}}\)
Vậy \(x\in\left\{-3;13\right\}\)