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7 tháng 6 2018
1. -2/3 < 0
2. 0,125 > -1/8
3. 3/7 < 11/15
4 -11/6 < -8/9
5 297/16 . 306/25
6 -265/317 < 83/111
chúc bạn học tốt
NN
22 tháng 11 2017
\(H=\left[0,\left(32\right).1,\left(5\right)-0,\left(25\right)\right].\dfrac{11}{83}\)
\(\Leftrightarrow H=\left(\dfrac{32}{99}.\dfrac{14}{9}-\dfrac{25}{99}\right).\dfrac{11}{83}\)
\(\Leftrightarrow H=\left(\dfrac{448}{891}-\dfrac{25}{99}\right).\dfrac{11}{83}\)
\(\Leftrightarrow H=\left(\dfrac{448}{891}-\dfrac{225}{891}\right).\dfrac{11}{83}\)
\(\Leftrightarrow H=\dfrac{448-225}{891}.\dfrac{11}{83}\)
\(\Leftrightarrow H=\dfrac{223}{891}.\dfrac{11}{83}\)
\(\Leftrightarrow H=\dfrac{2453}{73953}\)
\(\Leftrightarrow H=\dfrac{223}{6723}\)
2) \(A=\dfrac{0,5+0,\left(3\right)-0,1\left(6\right)}{2,5+1,\left(6\right)-0,8\left(3\right)}\)
\(\Leftrightarrow A=\dfrac{\dfrac{3}{6}+\dfrac{2}{6}-\dfrac{1}{6}}{\dfrac{15}{6}+\dfrac{10}{6}-\dfrac{5}{6}}\)
\(\Leftrightarrow A=\dfrac{\dfrac{3+2-1}{6}}{\dfrac{15+10-5}{6}}\)
\(\Leftrightarrow A=\dfrac{\dfrac{4}{6}}{\dfrac{20}{6}}\)
\(\Leftrightarrow A=\dfrac{4}{6}.\dfrac{6}{20}\)
\(\Leftrightarrow A=\dfrac{24}{120}\)
\(\Leftrightarrow A=\dfrac{1}{5}\)
US
2
1 tháng 6 2017
a)0,(17)+0,(82)
=0,17171717...+0,82828282...
=0,99999999999999...
=0,(99)
b)0,(6)x3
=2/3x3
=2
HN
0
6 tháng 8 2017
a) \(2x^2+x-6=0\Leftrightarrow2x^2+4x-3x-6=0\)
\(\Leftrightarrow2x\left(x+2\right)-3\left(x+2\right)=0\Leftrightarrow\left(2x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-3=0\\x+2=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}2x=3\\x=-2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)
vậy \(x=\dfrac{3}{2};x=-2\)
b) \(-5x^2+17x-6=0\Leftrightarrow-5x^2+15x+2x-6=0\)
\(\Leftrightarrow-5x\left(x-3\right)+2\left(x-3\right)\Leftrightarrow\left(-5x+2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}-5x+2=0\\x-3=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}5x=2\\x=3\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{2}{5}\\x=3\end{matrix}\right.\)
vậy \(x=\dfrac{2}{5};x=3\)
c) \(3x^2+22x-16=0\Leftrightarrow3x^2+24x-2x-16=0\)
\(\Leftrightarrow3x\left(x+8\right)-2\left(x+8\right)=0\Leftrightarrow\left(3x-2\right)\left(x+8\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x-2=0\\x+8=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}3x=2\\x=-8\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{2}{3}\\x=-8\end{matrix}\right.\)
vậy \(x=\dfrac{2}{3};x=-8\)
d) \(2x^3+3x^2-8x+3=0\Leftrightarrow2x^3-3x^2+x+6x^2-9x+3=0\)
\(\Leftrightarrow x\left(2x^2-3x+1\right)+3\left(2x^2-3x+1\right)=0\Leftrightarrow\left(x+3\right)\left(2x^2-3x+1\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(2x^2-2x-x+1\right)=0\Leftrightarrow\left(x+3\right)\left(2x\left(x-1\right)-\left(x-1\right)\right)=0\)
\(\left(x+3\right)\left(2x-1\right)\left(x-1\right)=0\) \(\Leftrightarrow\left\{{}\begin{matrix}x+3=0\\2x-1=0\\x-1=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-3\\2x=1\\x=1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=-3\\x=\dfrac{1}{2}\\x=1\end{matrix}\right.\) vậy \(x=-3;x=\dfrac{1}{2};x=1\)
10 tháng 12 2022
\(G=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{6}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{6}}=\dfrac{1}{5}\)
\(H=\left[\dfrac{32}{99}\cdot\dfrac{14}{9}-\dfrac{25}{99}\right]\cdot\dfrac{11}{83}\)
\(=\dfrac{223}{891}\cdot\dfrac{11}{83}=\dfrac{223}{6723}\)
a)=0
b)=0
A)0,99
B)1,8