3) \(-12+2x-9+x=0\\ -21+3x=0\\ 3x=21\\ x=7\)

4)
\(11+\left(15-x\right)=1\)
\(15-x=1-11\)
\(15-x=-10\)
\(x=15-\left(-10\right)\)
\(x=25\)

5) 
\(4-\left(27-3\right)=x-\left(13-4\right)\)
\(4-24=x-9\)
\(x-9=-20\)
\(x=-20+9\)
\(x=-11\)
 

\(3.-12+\left(2x-9\right)+x=0.\)

\(\Leftrightarrow-12+2x-9+x=0.\Leftrightarrow3x=21.\Leftrightarrow x=7.\)

Vậy \(x=7.\)

\(4.11+\left(15-x\right)=1.\Leftrightarrow11+15-x=1.\Leftrightarrow26-x=1.\Leftrightarrow x=25.\)

Vậy \(x=25.\)

\(5.4-\left(27-3\right)=x-\left(13-4\right).\Leftrightarrow4-24=x-9.\Leftrightarrow-20=x-9.\Leftrightarrow x=-11.\)

Vậy \(x=-11.\)

\(6.8-\left(x-10\right)=23-\left(-4+12\right).\Leftrightarrow8-x+10=23-8.\Leftrightarrow18-x=15.\Leftrightarrow x=3.\)

Vậy \(x=3.\)

\(7.105-5\left(10-5x\right)=-20.\Leftrightarrow105-50+25x=-20.\Leftrightarrow25x=-75.\Leftrightarrow x=-3.\)

Vậy \(x=-3.\)

\(8.\left(x-1\right)\left(8-2x\right)\left(3x+123\right)=0.\)

\(\Leftrightarrow\left[{}\begin{matrix}x-1=0.\\8-2x=0.\\3x+123=0.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1.\\x=4.\\x=-41.\end{matrix}\right.\)

Vậy \(x\in\left\{1;4;-41\right\}.\)

\(9.\left(x^2-25\right)\left(x+10\right)=0.\)

\(\Leftrightarrow\left(x-5\right)\left(x+5\right)\left(x+10\right)=0.\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=0.\\x+5=0.\\x+10=0.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5.\\x=-5.\\x=-10.\end{matrix}\right.\)

Vậy \(x\in\left\{5;-5;-10\right\}.\)

\(10.x\left(x^2+5\right)=0.\Leftrightarrow x=0.\)

A) 1000000 - 107492 : 154 x 28 + 1000

= 1000000 - 19544 + 1000

= 981456

B) 8/15 + 4/7 + 14/30 + 12/21 + 5

= 15/7 + 5

= 50/7

C) 9/13 : 6/11 - 5/12 : 6/11

= 9/13 x 11/6 - 5/12 x 11/6

= (9/13 - 5/12) x 11/6

= 43/156 x 11/6

= 473/936

Bài 2

1) X x2 + X x 1/5 = 8/5 

X x (2 + 1/5 ) = 8/5

X x 11/5 = 8/5

X = 8/5 x 5/11

X = 8/11

2) X : 3/8 = 4/3 : 3/6 

X : 3/8 = 8/3

X = 8/3 x 3/8

X = 1

a) 1 000 000 - 107 492 : 154 x 28 + 1000

=  1 000 000 -            698     x 28 + 1000

=  1 000 000 -                    19544 + 1000

=                    980 456                 + 1000

=                                       981 456

b) 8/15 + 4/7 + 14/30 + 12/21 + 5

  = ( 8/15 + 14/30 ) + ( 4/7 + 12/21 ) + 5

  = ( 16/30 + 14/30 ) + ( 12/21 + 12/21 ) + 5

  =            30/30      +          24/21         + 5

  =               1          +         24/21          + 5

  =           ( 1 + 5 ) + 24/21

  =                6      + 24/21

  =                     150/21

 =                         50/7        

Bài dài quá, lần sau chia nhỏ câu hỏi nhé!!!!!

đúng vậy

\(A=x^2-2x+50\)

\(A=x^2-2x+1+49\)

\(A=\left(x-1\right)^2+49\ge49\)

Dấu "=" xảy ra khi:

\(x=1\)

\(B=12x-x^2\)

\(B=-x^2+12x\)

\(B=-x^2+12x-36+36\)

\(B=-\left(x^2-12x+36\right)+36\)

\(B=-\left(x-6\right)^2+36\le36\)

Dấu "=" xảy ra khi:

\(x=6\)

\(C=\left(x+1\right)\left(x-2\right)\left(x-3\right)\left(x-6\right)\)

\(C=\left[\left(x+1\right)\left(x-6\right)\right]\left[\left(x-2\right)\left(x-3\right)\right]\)

\(C=\left[x\left(x-6\right)+1\left(x-6\right)\right]\left[x\left(x-3\right)-2\left(x-3\right)\right]\)

\(C=\left(x^2-6x+x-6\right)\left(x^2-3x-2x+6\right)\)

\(C=\left(x^2-5x-6\right)\left(x^2-5x+6\right)\)

\(C=\left(x^2-5x\right)^2-36\ge-36\)

Dấu "=" xảy ra khi:

\(x^2-5x=0\)

\(\Rightarrow x\left(x-5\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\)

\(\frac{2}{11}x+\frac{3}{10}=\frac{11}{6}-\frac{6}{11}\)

\(\frac{2}{11}x+\frac{3}{10}=\frac{85}{66}\)

\(\frac{2}{11}x=\frac{85}{66}-\frac{3}{10}\)

\(\frac{2}{11}x=\frac{163}{165}\)

\(x=\frac{163}{165}:\frac{2}{11}\)

\(x=\frac{163}{30}\)

1: \(\Leftrightarrow\left(x-1\right)^x\cdot\left(x-1\right)^2-\left(x-1\right)^x=0\)

=>\(\left(x-1\right)^x\cdot\left[\left(x-1\right)^2-1\right]=0\)

=>\(x\left(x-1-1\right)\cdot\left(x-1\right)^x=0\)

=>x(x-2)(x-1)^x=0

=>x=0;x=2;x=1

2: \(\Leftrightarrow\left(6-x\right)^{2003}\left(x-1\right)=0\)

=>6-x=0 hoặc x-1=0

=>x=6;x=1

3: =>(7x-11)^3=32*25+200=1000

=>7x-11=10

=>7x=21

=>x=3

4: =>x^2-1=-3 hoặc x^2-1=3

=>x^2=-2(loại) hoặc x^2=4

=>x=2 hoặc x=-2

a)

6^x.6^3:6^5+81=11^2-4

6^x.6^3:6^5+81=117

6^x.6³:6⁵=36

6^x.6³=279936

6^x=279936:6³

6^x=1296

6^x=6⁴

x=4

câu b ban ghi ro de hon nha

bruh