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23 tháng 5 2020

Bài 1 :

\(a)x=\frac{7}{25}+\left(-\frac{1}{5}\right)\)

    \(x=\frac{2}{25}\)

\(b)x=\frac{5}{11}+\left(\frac{4}{-9}\right)\)

    \(x=\frac{1}{99}\)

Mấy câu kia dễ tự làm :>

1)

Ta có: \(8⋮x\)

\(\Rightarrow x\inƯ\left(8\right)\)

\(\Rightarrow x\in\left\{\pm1;\pm2;\pm4;\pm8\right\}\)

mà x>0 nên \(x\in\left\{1;2;4;8\right\}\)

Vậy: \(x\in\left\{1;2;4;8\right\}\)

2)

Ta có: \(12⋮x\)

\(\Rightarrow x\inƯ\left(12\right)\)

\(\Rightarrow x\in\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)

mà x<0 nên \(x\in\left\{-1;-2;-3;-4;-6;-12\right\}\)

Vậy: \(x\in\left\{-1;-2;-3;-4;-6;-12\right\}\)

3)

Ta có: \(-8⋮x\)\(12⋮x\)

nên \(x\inƯC\left(-8;12\right)\)

\(Ư\left(-8\right)=\left\{\pm1;\pm2;\pm4;\pm8\right\}\)

\(Ư\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)

nên \(x\in\left\{1;-1;2;-2;4;-4\right\}\)

Vậy: \(x\in\left\{1;-1;2;-2;4;-4\right\}\)

9 tháng 2 2020

Dìm BTS x là số nguyên hay gì dạ

27 tháng 1 2018

a)       \(\left(2x+10\right)\left(x^2-9\right)=0\)

\(\Leftrightarrow\)\(2\left(x+5\right)\left(x^2-3x+3x-9\right)=0\)

\(\Leftrightarrow\)\(2\left(x+5\right)\left(x-3\right)\left(x+3\right)=0\)

\(\Leftrightarrow\)\(x+5=0\)            \(\Leftrightarrow\)\(x=-5\)

hoặc  \(x-3=0\)            hoặc    \(x=3\)

hoặc  \(x+3=0\)            hoặc    \(x=-3\)

Vậy....

(x+3)(x-2)<0

=>x+3>0 và x-2<0

=>-3<x<2

=>\(x\in\left\{-2;-1;0;1\right\}\)

28 tháng 2 2018

a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)

\(x=\dfrac{13}{52}+\dfrac{8}{52}\)

\(x=\dfrac{21}{52}\)

b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)

\(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)

\(\dfrac{x}{3}=\dfrac{11}{21}\)

\(x=\dfrac{11.3}{21}=\dfrac{33}{21}\)

\(x=\dfrac{11}{7}\)

c) \(\dfrac{-8}{3}+\dfrac{1}{3}< x< \dfrac{-2}{7}+\dfrac{-5}{7}\)

\(\dfrac{-17}{7}< x< -1\)

\(-17< x< -7\)

\(x\in\left\{-16;-15,....;-6\right\}\)

d) \(\dfrac{1}{6}+\dfrac{2}{5}\)

\(=\dfrac{5}{30}+\dfrac{12}{30}\)

\(=\dfrac{17}{30}\)

e) \(\dfrac{3}{5}+\dfrac{-7}{4}\)

\(=\dfrac{12}{20}+\dfrac{-35}{20}\)

\(=\dfrac{-23}{20}\)

f) \(\dfrac{4}{13}+\dfrac{-12}{30}\)

\(=\dfrac{4}{13}+\dfrac{-2}{5}\)

\(=\dfrac{20}{65}+\dfrac{-26}{65}\)

\(=\dfrac{-6}{65}\)

g) \(\dfrac{-3}{29}+\dfrac{16}{58}\)

\(=\dfrac{-6}{58}+\dfrac{16}{58}\)

\(=\dfrac{10}{58}\)

h) \(\dfrac{8}{40}+\dfrac{-36}{45}\)

\(=\dfrac{1}{5}+\dfrac{-4}{5}\)

\(=\dfrac{-3}{5}\)

j) \(\dfrac{-8}{18}+\dfrac{15}{27}\)

\(=\dfrac{-2}{9}+\dfrac{5}{9}\)

\(=\dfrac{3}{9}\)

\(=\dfrac{1}{3}\)