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\(a,\left(2^x-3\right)^3-59=5\)

\(\Leftrightarrow\left(2^x-3\right)^3=64=4^3\)

\(\Leftrightarrow2^x-3=4\)

\(\Leftrightarrow2^x=7\)

...= ?????????

Giải thích các bước giải:

-1+3-5+7-...+x=1000

= (-1+3)+(-5+7)+...+x=1000

= 2+2+...+x=1000

= 2 x (x−22+1):2(x−22+1):2=1000

= (x−22+1)(x−22+1)=1000

= (x−22(x−22=999

= x-2=1998

⇒x = 2000

HT nha 

Câu 1: (2x-3)-(x-5)=(x+2)-(x-1)

2x -3 -x+5 = x+2 -x +1

2x -x -x +x = 2+1 +3 -5

x= 1

Câu 2:     2(x-1)-5(x+2)=10

2x -2 -5x -10 =10

2x -5x = 10 +2 +10

(2-5) x = 22

-3x= 22

x= 22/-3

Câu 1: ( 2x - 3 ) - ( x - 5 ) = ( x + 2 ) - ( x - 1 )
=> ( 2x - x ) - ( 3 - 5 ) = ( x - x ) + ( 2 + 1 )
=> x + 2 = 3
=> x = 1

Thử lại: ( 2 - 3 ) - ( 1 - 5 ) = ( 1 + 2 ) - ( 1 - 1 )
=> -1 + 4 = 3 - 0
=> 3 = 3    ( thoả mãn )

Câu 2: 2 ( x - 1 ) - 5 ( x + 2 ) = 10
=> ( 2x - 2 ) - ( 5x + 10 ) = 10
=> ( 2x - 5x ) - ( 2 + 10 ) = 10
=> -3x - 12 = 10
=> -3x = 22
=> x = ^-22/₃

Thử lại: 2 ( ^-22/₃ - 1 ) - 5 ( ^-22/₃ + 2 ) = 10
=> 2 * ^-25/₃ - 5 * ^-16/₃ = 10
=> ^-50/₃ - ^-80/₃ = 10
=> ^{(-50) - (-80)}/₃ = 10
=> 30 / 3 = 10    ( thoả mãn )

a) \(\left(\frac{1}{7}x-\frac{2}{3}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}\frac{1}{7}x-\frac{2}{3}=0\\-\frac{1}{5}x+\frac{3}{5}=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\frac{1}{7}x=\frac{2}{3}\\-\frac{1}{5}x=-\frac{3}{5}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{14}{3}\\x=3\end{cases}}\)

b)\(\frac{1}{10}x-\frac{4}{5}x+1=0\)

\(\Leftrightarrow x.\left(\frac{1}{10}-\frac{4}{5}\right)+1=0\)

\(\Rightarrow-\frac{7}{10}x=-1\)

\(\Rightarrow x=\frac{10}{7}\)

c)\(\left(2x-\frac{1}{3}\right).\left(5x+\frac{2}{7}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}2x-\frac{1}{3}=0\\5x+\frac{2}{7}=0\end{cases}\Rightarrow\orbr{\begin{cases}2x=\frac{1}{3}\\5x=-\frac{2}{7}\end{cases}}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{6}\\x=-\frac{2}{35}\end{cases}}\)

a, (1/7 . x - 2/3) . (-1/5 . x + 3/5) = 0

Suy ra : 1/7 .x -2/3 = 0 hoặc -1/5 .x + 3/5 =0

Vậy : 1/7 .x = 2/3 hoặc -1/5 .x = 3/5

         x =2/3 : 1/7 hoặc x = 3/5 : (-1/5)

        x = 14/3 hoặc x = -3

b, 1/10 .x - 4/5 .x + 1 =0

   x . (1/10 - 4/5) + 1 = 0

   x . (-7/10) + 1 = 0

   x . -7/10 =0 +1 = 1

   x = 1 : (-7/10)

   x = -10/7

c, (2x - 1/3 ) . (5x +2/7) = 0

Suy ra : 2x - 1/3 = 0 hoặc 5x + 2/7 = 0

Vậy : 2x = 1/3 hoặc 5x = 2/7

         x = 1/3 : 2 hoặc x = 2/7 : 5

         x = 1/6 hoặc x = 2/35

$2x\left(x-5\right)-x\left(3+2x\right)=26$

$\iff$ $x\left[2\left(x-5\right)-\left(3+2x\right)\right]=26$

$\iff$ $x\left(2x-10-3-2x\right)=26$

$\iff$ $x\left(-13\right)=26$

$\mathrm{x=26:(-13)}$

$\mathrm{x=2}$

Xx2/5= 2/3

X=2/3:2/5

X=5/2

X x 2/5 = 5/12 + 1/4 

X x 2/5 = 2/3

X = 2/3 : 2/5

X = 5/3

\(\left|x-\frac{1}{3}+\frac{4}{5}\right|=\left|-3,2+\frac{2}{5}\right|\)

\(\Rightarrow x-\frac{1}{3}+\frac{4}{5}=-3,2+\frac{2}{5}\)

\(\Rightarrow x-\frac{1}{3}+\frac{4}{5}=-\frac{14}{5}\)

\(\Rightarrow x-\frac{1}{3}=-\frac{14}{5}-\frac{4}{5}\)

\(\Rightarrow x-\frac{1}{3}=-\frac{18}{5}\)

\(\Rightarrow x=\frac{-49}{15}\)

3^2+4^2=5^2

9+16=25

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