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-3 |x+6|+9 = 12
-3.|x+6| = 12 - 9
-3.|x+6| = 3
|x+6| = 3 : (-3) = -1
Vì |a|= a mà |x+6|= -1
Nên x không có giá trị nào thỏa mãn
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6/7+5/8÷5-3/16×(-2)²
=6/7+1/8-3/4
=55/56-3/4
=13/56
b.2/3 + 1/3.( -4/9 + 5/6 ) : 7/12
=2/3 + 1/3. ( -8/18 + 15/18 ) : 7/12
=2/3 + 1/3 . 7/18 : 7/12
=2/3 + 7/54 : 7/12
= 2/3 + 2/9
=6/9 + 2/9
= 8/9
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\(\left|-9-x\right|-5=12\)
\(\Leftrightarrow\left|-9-x\right|=12+5\)
\(\Leftrightarrow\left|-9-x\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}-9-x=17\\-9-x=-17\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-9-17\\x=-9-\left(-17\right)\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-36\\x=8\end{cases}}}\)
Vậy \(x=-36\)hoặc \(x=8\)
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a, \(\dfrac{5}{9}.\dfrac{10}{11}+\dfrac{5}{9}.\dfrac{14}{11}-\dfrac{5}{9}.\dfrac{15}{11}=\dfrac{5}{9}.\left(\dfrac{10}{11}+\dfrac{14}{11}-\dfrac{15}{11}\right)=\dfrac{5}{9}.\dfrac{9}{11}=\dfrac{5}{11}\)
b, \(\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{3}{13}.\dfrac{6}{7}\)\(=\dfrac{6}{7}.\left(\dfrac{8}{13}-\dfrac{3}{13}\right)+\dfrac{6}{13}.\dfrac{9}{7}=\dfrac{6}{7}.\dfrac{5}{13}+\dfrac{54}{91}=\dfrac{30}{91}+\dfrac{54}{91}=\dfrac{84}{91}=\dfrac{12}{13}\)
Bạn ơi, gõ latex cho dễ nhìn nhé!
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c: \(=\dfrac{4}{9}\left(\dfrac{5}{7}+\dfrac{2}{5}+\dfrac{2}{7}-\dfrac{7}{5}\right)=\dfrac{4}{9}\cdot\left(1-1\right)=0\)
d: \(=\dfrac{4-3-1}{12}\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\)
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3+6+9+12+...+x=1395
<=>\(\left(\frac{x-3}{3}+1\right).\frac{x+3}{2}=1395\)
<=>\(\frac{x}{3}.\frac{x+3}{2}=1395\)
<=>\(\frac{x\left(x+3\right)}{6}=1395\)
<=>\(x\left(x+3\right)=8370\)
<=>\(x\left(x+3\right)=90.93\)
<=>\(x=90\)