( x + 1 ) + ( x + 2 ) + ( x + 3 ) +... + ( x + 100 ) = 5750 

( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 100 ) = 5750

( x . 100 ) + ( 1 . 100 ) . 100 : 2 = 5750 

( x . 100 ) + 5050 = 5750

x . 100 = 5750 - 5050

x . 100 = 700 

x = 700 : 100 

x = 7 

Vậy x = 7 

viết sai đề rồi em ơi 

( x + 1 ) + ( x + 2 ) + ( x + 3 ) +... + ( x + 100 ) = 5750

( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 100 ) = 5750

( x . 100 ) + ( 1 . 100 ) . 100 : 2 = 5750

( x . 100 ) + 5050 = 5750

x . 100 = 5750 - 5050 

x . 100 = 700

       x  = 700 : 100

       x = 7

Vậy x = 7

\(\frac{5}{3}-\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{7}{6}\)

=> \(\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{5}{3}-\frac{7}{6}\)

=> \(\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{1}{2}\)

=> \(\left(1-x\cdot\frac{1}{3}\right)=\frac{1}{3}:\frac{1}{2}=\frac{1}{3}\cdot2=\frac{2}{3}\)

=> \(1-\frac{x}{3}=\frac{2}{3}\)

=> \(\frac{x}{3}=1-\frac{2}{3}=\frac{1}{3}\)

=> x = 1

\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)-\frac{1}{4}=\frac{1}{2}\)

=> \(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{1}{2}+\frac{1}{4}=\frac{3}{4}\)

=> \(x:\frac{1}{2}+\frac{3}{2}=3-\frac{3}{4}=\frac{9}{4}\)

=> \(x:\frac{1}{2}=\frac{9}{4}-\frac{3}{2}\)

=> \(x:\frac{1}{2}=\frac{3}{4}\)

=> \(x=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{8}\)

\(\frac{5}{3}-\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{7}{6}\)

\(\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{5}{3}-\frac{7}{6}\)

\(\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{1}{2}\)

\(1-x\times\frac{1}{3}=\frac{1}{3}:\frac{1}{2}\)

\(1-x\times\frac{1}{3}=\frac{2}{3}\)

\(x\times\frac{1}{3}=1-\frac{2}{3}\)

\(x\times\frac{1}{3}=\frac{1}{3}\)

\(x=\frac{1}{3}:\frac{1}{3}\)

\(x=1\)

\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)-\frac{1}{4}=\frac{1}{2}\)

\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{1}{2}+\frac{1}{4}\)

\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{3}{4}\)

\(x:\frac{1}{2}+\frac{3}{2}=3-\frac{3}{4}\)

\(x:\frac{1}{2}+\frac{3}{2}=\frac{9}{4}\)

\(x:\frac{1}{2}=\frac{9}{4}-\frac{3}{2}\)

\(x:\frac{1}{2}=\frac{3}{4}\)

\(x=\frac{3}{4}\times\frac{1}{2}\)

\(x=\frac{3}{8}\)

a)(x - 2)(y + 3)= 5
Vì x,y là các số nguyên => x-2,y+3 là các ước nguyên của 5
Ta có bảng sau:
 

b) (x + 1)(y - 5) =-7
Vì x,y là các số nguyên => x+1,y-5 là các ước nguyên của -7
Ta có bảng sau:
 

Chúc bạn học tốt!

a,48:(7x-15)=8

7x-15=6

7x=21

x=3

b,100-3(5-x)=73

3(5-x)=27

5-x=9

x=-4

c,[(x+32)-17]*2+8=50

[(x+32)-17]*2=42

(x+32)-17=21

x+32=38

x=6

a)48:(7x-15)=8

         (7x-15)=48:8

         (7x-15)=6

                7x=6+15

                 7x=21

                   x=21:7

                   x=3

b)100-3(5-x)=73

          3(5-x)=100-73

         3(5-x)=27

            5-x=27:3

             5-x=9

                x=5-9

                x=-4

c)[(x+32)-17]x2+8=50

   [(x+32)-17]x2=50+8=58

   [(x+32)-17]=58:2

          x+32   =29+17

          x         =46-32

         x           =14

\(3\left(x-1\right)^2-3x\left(x-5\right)=1\)

\(\Rightarrow3x^2-3^2-3x^2+15x=1\)

\(\Rightarrow3x^2-9-3x^2+15x=1\)

\(\Rightarrow-9+15x=1\)

\(\Rightarrow15x=-8\)

\(\Rightarrow x=\frac{-8}{15}\)

\(\left(x-3\right)\left(x-5\right)+1=0\)

\(\Leftrightarrow x^2-5x-3x+15+1=0\)

\(\Leftrightarrow x^2-8x+16=0\)

\(\Leftrightarrow\left(x-4\right)^2=0\)

\(\Leftrightarrow x-4=0\)

\(\Leftrightarrow x=4\)

Vậy \(x=4\)

\(\left(x-3\right)\left(x-5\right)+1=0\)

\(\Rightarrow x^2-3x-5x+15+1=0\)

\(\Rightarrow x^2-8x+16=0\)

\(\Rightarrow x^2-2x.4+4^2=0\)

\(\Rightarrow\left(x-4\right)^2=0\)

\(\Rightarrow x-4=0\)

\(\Rightarrow x=4\)

Vậy \(x=4\)

\(\left(x-3\right)\left(x-5\right)+1=0\)

\(\Leftrightarrow x^2-5x-3x+15+1=0\)

\(\Leftrightarrow x^2-8x+16=0\)

\(\Leftrightarrow\left(x-4\right)^2=0\)

\(\Leftrightarrow x=4\)