`\ttcolor{maroon}{# Phương Anh}`

`1) (2x-5)^2=49`

`=> (2x-5)^2=(+-7)^2`

`=>` \(\left[ \begin{array}{l}2x-5=7\\2x-5=-7\end{array} \right.\) 

`=>` \(\left[ \begin{array}{l}x=6\\x=-1\end{array} \right.\) 

Vậy `x in {6;-1}`

`2) (2x+3)^2=25`

`=> (2x+3)^2=(+-5)^2`

`=>` \(\left[ \begin{array}{l}2x+3=5\\2x+3=-5\end{array} \right.\) 

`=>` \(\left[ \begin{array}{l}x=1\\x=-4\end{array} \right.\) 

Vậy `x in {1;-4}`

`3) (x-3)^2-5=59`

`=> (x-3)^2=59+5`

`=> (x-3)^2=64`

`=> (x-3)^2=(+-8)^2`

`=>` \(\left[ \begin{array}{l}x-3=8\\x-3=-8\end{array} \right.\) 

`=>` \(\left[ \begin{array}{l}x=11\\x=-5\end{array} \right.\) 

Vậy `x in {11;-5}`

`1) 15-5(x+4) =-12-3`

`=> 15-5(x+4) =-15`

`=> 5(x+4) =15+15`

`=> 5(x+4) =30`

`=> x+4=30:5`

`=> x+4=6`

`=> x=6-4`

`=> x=2`

Vậy `x=2`

`2) 45:(3x-4) =3^2`

`=> 45:(3x-4) =9`

`=> 3x-4=45:9`

`=> 3x-4=5`

`=> 3x=5+4`

`=> 3x=9`

`=> x=9:3`

`=> x=3`

Vậy `x=3`

`3) 122-4(x-1) =(-34) +64`

`=> 122-4(x-1) =30`

`=> 4(x-1) =122-30`

`=> 4(x-1) =92`

`=> x-1=92:4`

`=> x-1=23`

`=> x=23+1`

`=> x=24`

Vậy `x=24`

`4) -152-(3x+1)=(-2). (-27)`

`=> -152-(3x+1) =54`

`=> 3x+1=-152-54`

`=> 3x+1=-206`

`=> 3x=-206-1`

`=> 3x=-207`

`=> x=-207:3`

`=> x=-69`

Vậy `x=-69`

`5) 20+8(x+3) =5^2 . 4`

`=> 20+8(x+3) =25.4`

`=> 20+8(x+3) =100`

`=>8(x+3) =100-20`

`=> 8(x+3) =80`

`=> x+3=80:8`

`=> x+3=10`

`=> x=10-3`

`=> x=7`

Vậy `x=7`

`6) 55-7(x+3) =4^2-10`

`=> 55-7(x+3) =16-10`

`=> 55-7(x+3) =6`

`=> 7(x+3) =55-6`

`=> 7(x+3) =49`

`=> x+3=49:7`

`=> x+3=7`

`=> x=7-3`

`=> x=4`

Vậy `x=4`

`a) 250:(x-5) =64-14`

`=> 250:(x-5) =50`

`=> x-5=250:50`

`=> x-5=5`

`=> x=5+5`

`=> x=10`

Vậy `x=10`

`b) 3(x+8) =17+(-23)`

`=> 3(x+8) =17-23`

`=> 3(x+8) =-6`

`=> x+8=-6:3`

`=> x+8=-2`

`=> x=-2-8`

`=> x=-10`

Vậy `x=-10`

`c) 2(x-3)^2=(-3)^2-1`

`=> 2(x-3)^2=9-1`

`=> 2(x-3)^2=8`

`=> (x-3)^2=8:2`

`=> (x-3)^2=4`

`=> (x-3)^2=(+-2)^2`

`=>` \(\left[ \begin{array}{l}x-3=2\\x-3=-2\end{array} \right.\) 

`=>` \(\left[ \begin{array}{l}x=5\\x=1\end{array} \right.\) 

Vậy `x in {5;1}`

`d) 18-(x+14) :3=27`

`=> (x+14) :3=18-27`

`=> (x+14) :3=-9`

`=> x+14=-9.3`

`=> x+14=-27`

`=> x=-27-14`

`=> x=-41`

Vậy `x=-41`