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Bài 1:
Ta có : x - 10 = x + 3 - 13
Để x - 10 chia hết cho x + 3 thì x + 3 - 13 phải chia hết cho x + 3
=> 13 chia hết cho x + 3
=> x + 3 thuộc Ư13 hay x + 3 thuộc {+1; +13}
Nếu x + 3 = 1 => x = 1 - 3 = -2 Nếu x + 3 = -1 => x = -1 -3 = -4
Nếu x + 3 = 13 =>x = 13 - 3 = 10 Nếu x + 3 = -13=> x = -13 - 3 = -16
Vậy x thuộc { -16; -4; -2; 10}
a, 1 x 2 x 3 x ... x 8 x 9 - 1 x 2 x 3 x ... x 8 - 1 x 2 x 3 x ... x 7 x 8 x 8
= 1 x 2 x 3 x ... x 8 ( 9 - 1 - 8 ) = 1 x2 x 3 x ... x 8 . 0 = 0
\(\left|x+3\right|=15\)
\(\Rightarrow\orbr{\begin{cases}x+3=15\\x+3=-15\end{cases}\Rightarrow\orbr{\begin{cases}x=15-3\\x=-15-3\end{cases}\Rightarrow}}\orbr{\begin{cases}x=12\\x=-18\end{cases}}\)
Vậy .........
a, bạn Forevër™ ( 30 - 03 - 2007 ) giải rồi nhé
b, Ta có :\(|x-7|+13=25\)
<=> : \(|x-7|=25-13\)
<=> : \(|x-7|=12\)
=> : \(x-7=12\) :
< => : \(x=19\)
: \(x=-5\)
Vậy\(x=\left\{-5;19\right\}\)
C,Ta có : \(|x-3|-16=-4\)
\(< =>|x-3|=-4+16\)
\(< =>|x-3|=12\)
\(< =>x-3=12\)hoặc \(x-3=-12\)
\(< =>x=15\)hoặc \(x=-9\)
Vậy\(x=\left\{15;-9\right\}\)
Bài 1:
\(\frac{3}{5}+\frac{4}{15}=\frac{9}{15}+\frac{4}{15}=\frac{13}{15}\)
\(\frac{5}{6}:\frac{-7}{12}=\frac{5}{6}.\frac{-12}{7}=\frac{-60}{42}=\frac{-10}{7}\)
\(\frac{-21}{24}:\frac{-14}{8}=\frac{-21}{24}.\frac{-8}{14}=\frac{168}{336}=\frac{1}{2}\)
\(\frac{4}{5}:\frac{-8}{15}=\frac{4}{5}.\frac{-15}{8}=\frac{-60}{40}=\frac{-3}{2}\)
\(\frac{5}{12}-\frac{-7}{6}=\frac{5}{12}+\frac{7}{6}=\frac{5}{12}+\frac{14}{12}=\frac{19}{12}\)
\(\frac{-15}{16}.\frac{8}{25}=\frac{-120}{400}=\frac{-3}{10}\)
Bài 2 :
\(6\frac{4}{5}-\left(1\frac{2}{3}+3\frac{4}{5}\right)\)
\(=\frac{34}{5}-\left(\frac{5}{3}+\frac{19}{5}\right)\)
\(=\frac{34}{5}-\frac{5}{3}-\frac{19}{5}\)
\(=\left(\frac{34}{5}-\frac{19}{5}\right)-\frac{5}{3}\)
\(=3-\frac{5}{3}\)
\(=\frac{4}{3}\)
\(6\frac{5}{7}-\left(1\frac{2}{3}+2\frac{5}{7}\right)\)
\(=\frac{47}{7}-\left(\frac{5}{3}+\frac{19}{7}\right)\)
\(=\frac{47}{7}-\frac{5}{3}-\frac{19}{7}\)
\(=\left(\frac{47}{7}-\frac{19}{7}\right)-\frac{5}{3}\)
\(=4-\frac{5}{3}\)
\(=\frac{7}{3}\)
\(\frac{4}{19}.\frac{-3}{7}+\frac{-3}{7}.\frac{15}{19}+\frac{5}{7}\)
\(=\left(\frac{4}{19}+\frac{15}{19}\right).\frac{-3}{7}+\frac{5}{7}\)
\(=1.\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{2}{7}\)
\(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
\(=\frac{5}{9}.\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)\)
\(=\frac{5}{9}.1\)
\(=\frac{5}{9}\)
\(\frac{13}{11}\cdot\frac{22}{66}-x\cdot2=\frac{7}{16}\)
\(\Leftrightarrow\frac{13}{11}\cdot\frac{1}{3}-2x=\frac{7}{16}\)
\(\Leftrightarrow\frac{13}{33}-2x=\frac{7}{16}\)
\(\Leftrightarrow2x=-\frac{23}{528}\)
\(\Leftrightarrow x=-\frac{23}{1056}\)
sẵn bán nick luôn:)