1.

=3/5x(3/7+4/7)+2/5x(13/9-4/9)

=3/5x1+2/5x1

=3/5+2/5

=1

2.Xx(3/4+4/5)=7/10

Xx31/20=7/10

X         =7/10:31/20

X         =14/31

\(\frac{3}{5}\cdot\frac{3}{7}+\frac{3}{5}\cdot\frac{4}{7}+\frac{2}{5}\cdot\frac{13}{9}-\frac{2}{5}\cdot\frac{4}{9}\)

\(=\frac{3}{5}\cdot\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{2}{5}\cdot\left(\frac{13}{9}-\frac{4}{9}\right)\)

\(=\frac{3}{5}\cdot1+\frac{2}{5}\cdot1\)\(=\frac{3}{5}+\frac{2}{5}=1\)

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\(\frac{3}{4}\cdot x+\frac{4}{5}\cdot x=\frac{7}{10}\)

\(\left(\frac{3}{4}+\frac{4}{5}\right)\cdot x=\frac{7}{10}\)

\(\frac{31}{20}\cdot x=\frac{7}{10}\)

\(x=\frac{7}{10}:\frac{31}{20}\)

\(x=\frac{14}{31}\)

5x - 7= x - 5

 =>5x-x=-5+7

=>4x=2

=>x=2:4

=>x=1/2

vậy x=1/2

5x-7=x-5

5x-x=-5+7

4x=2

x=\(\frac{2}{4}\) =\(\frac{1}{2}\)

(x + 2)(x + 5) < 0

Th1: x + 2 > 0 => x > -2

        x + 5 < 0 => x < -5

=> Vô lý

Th2: x + 2 < 0 => x < -2

        x + 5 > 0 => x > -5

=> -5 < x < -2

Ta có : (x+2)(x+5)<0

         => x+2 và x+5 là hai số nguyên trái dấu

              mà x+5 > x+2

         => \(\hept{\begin{cases}x+5>0\\x+2< 0\end{cases}}\)

         => \(\hept{\begin{cases}x>-5\\x< 2\end{cases}}\)

        =>   \(-5< x< 2\)

        =>   \(x\in\left\{-4;-3;-2;-1;0;1\right\}\)

~ học tốt nha ~

Mình giải chi tiết rồi T mình nha

x=3/32

HT

Có chép nhầm đề ko

ko bạn ơi

m x 3 + m x 2 = m + m + m + m + m 
8 x 5 = 8 + 8 + 8 + 8 + 8 hoặc 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
n x y = n + n + n + n + .... (y lần n)

a: =5m

b: =40

c: =ny

5m

40

ny

\(\frac{\left(\frac{2}{3}\right)^3\cdot\left(-\frac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\frac{2}{5}\right)^2\cdot\left(-\frac{5}{12}\right)^3}\)

\(=\frac{\frac{2^3}{3^3}\cdot\frac{3^2}{4^2}\cdot\left(-1\right)}{\frac{2^2}{5^2}\cdot\frac{\left(-5\right)^3}{12^3}}\)

\(=\frac{\frac{8}{27}\cdot\frac{9}{16}\cdot\left(-1\right)}{\frac{4}{25}\cdot\frac{-125}{1728}}=\frac{-\frac{1}{6}}{-\frac{5}{432}}=\left(-\frac{1}{6}\right)\cdot\left(-\frac{432}{5}\right)=\frac{72}{5}\)

\(5^{x+2}+5^x=26\)

\(\Rightarrow5^x5^2+5^x=26\)

\(\Rightarrow5^x\left(25+1\right)=26\)

\(\Rightarrow5^x=1\)

Sai đề à :v

k^o sai đề đâu :3

Ta có:

5^x+2+5^x=26

\(\Rightarrow\)5^x.5²+5^x=26

\(\Rightarrow\)5^x.(5²+1)=26

\(\Rightarrow\)5^x.26=26

\(\Rightarrow\)5^x     =26:26

\(\Rightarrow\)5^x     =1

\(\Rightarrow\)5^x     =5⁰

\(\Rightarrow\)x   =0