`|-x+5|=35`

`@TH1:`

`-x+5=35`

`=> -x = 35-5`

`=> -x=-40`

Vậy `-x=-40`

`@TH2:`

`-x+5=35`

`=> -x=35-5`

`=> -x=30(loại)`

Vậy `x = -40`

\(\overline{abc}.\overline{abca}=\overline{abcabc}\)

\(\Rightarrow\overline{abc}.\left(10.\overline{abc}+a\right)=\overline{abc}.1001\)

\(\Rightarrow10.\overline{abc}+a=1001\)

\(\Rightarrow10.\overline{abc}=1001-a⋮10\Rightarrow a=1\)

\(\Rightarrow10.\overline{1bc}=1000\)

\(\Rightarrow10.\left(100+\overline{bc}\right)=1000\)

\(\Rightarrow1000+10.\overline{bc}=100\Rightarrow\overline{bc}=0\)

\(\Rightarrow\overline{abc}=100\)

a/

\(\left(2x+1\right)^3=125=5^3\)

\(\Rightarrow2x+1=5\Rightarrow x=2\)

b/

\(64.4^x=4^5\Leftrightarrow4^3.4^x=4^5\)

\(\Leftrightarrow4^{x+3}=4^5\Rightarrow x+3=5\Rightarrow x=2\)

`(2x+1)^3 = 125

`(2x+1)^3 = 5^2`

`2x+1=5`

`2x=5-1`

`2x=4`

`x=4:2`

`x=2`

Vậy `x = 2`

_____________________________

`64.4^x = 4^5`

`4^x  = 4^5 : 64`

`4^x = 4^5 : 4^3`

`4^x= 4^2`

`=> x = 2`

1233; 1323; 1332; 2133; 2313; 2331; 3123; 3132; 3213; 3231; 3312; 3321

1233; 1323; 1332; 2133; 2313; 2331; 3123; 3132; 3213; 3231; 3312; 3321

    3⁷ x 7 + 2³ x 10 - 81: 9

= 15309  + 80 - 9

= 15380

37 x 7 + 23 x 10 - 81: 9

= 15309  + 80 - 9

= 15380

    12x7x5 + 35 x1822 - 5x94x7

=  12x35 + 35 x 1822 - 35x94

= 35 x ( 12 + 1822 - 94)

= 35 x 1740

= 60900

1 x 2 x 3 x .....x 1000 x ( 456 x 789789 - 789 x 456456)

 = 1x2x3x.....x1000x ( 456 x 789 x 1001 - 789 x 456 x 1001)

= 1x2x3x4x.....x1000 x 0

= 0 

`(1 xx 2 xx 3 xx .....xx 1000) xx ( 456 xx 789789 - 789 xx 456456)

` = (1xx2xx3xx.....xx1000)xx ( 456 xx 789 xx 1001 - 789 xx 456 xx 1001)`

`= (1xx2xx3xx4xx.....xx1000) xx 0`

`= 0`

x = -2,5

nhanh mik can gap

(x-2)² = \(\dfrac{9}{25}\) 

(x-2)² = ( \(\dfrac{3}{5}\))²

x - 2 = \(\dfrac{3}{5}\)

x = \(\dfrac{3}{5}\) + 2

x =  13/5