1,a,\(\left|x+2\right|=x+3\Leftrightarrow\orbr{\begin{cases}x+2=x+3\\x+2=-x-3\end{cases}}\)

                                      \(\Leftrightarrow\orbr{\begin{cases}x-x=3-2\\x+x=-3-2\end{cases}\Leftrightarrow\orbr{\begin{cases}0=1\left(voly\right)\\x=\frac{-5}{2}\end{cases}}}\)

b, \(|x-2|=2-x\Leftrightarrow\orbr{\begin{cases}x-2=2-x\\x-2=x-2\end{cases}}\)

                                    \(\Leftrightarrow\orbr{\begin{cases}x+x=2+2\\x-x=-2+2\end{cases}\Rightarrow x=2}\)

c,\(\left|2x-1\right|=3\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\)

                             \(\Leftrightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}}\)

d,\(\left|x-12\right|=x\Leftrightarrow\orbr{\begin{cases}x-12=x\\x-12=-x\end{cases}\Leftrightarrow\orbr{\begin{cases}0=12\left(voly\right)\\x=6\end{cases}}}\)

a) 500                  

b) 2303                

c) 537 

d) 35000

a: \(4x^3+12=120\)

=>\(4x^3=108\)

=>\(x^3=27=3^3\)

=>x=3

b: \(\left(x-4\right)^2=64\)

=>\(\left[{}\begin{matrix}x-4=8\\x-4=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-4\end{matrix}\right.\)

c: (x+1)^3-2=5^2

=>\(\left(x+1\right)^3=25+2=27\)

=>x+1=3

=>x=2

d: 136-(x+5)^2=100

=>(x+5)^2=36

=>\(\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)

e: \(4^x=16\)

=>\(4^x=4^2\)

=>x=2

f: \(7^x\cdot3-147=0\)

=>\(3\cdot7^x=147\)

=>\(7^x=49\)

=>x=2

g: \(2^{x+3}-15=17\)

=>\(2^{x+3}=32\)

=>x+3=5

=>x=2

h: \(5^{2x-4}\cdot4=10^2\)

=>\(5^{2x-4}=\dfrac{100}{4}=25\)

=>2x-4=2

=>2x=6

=>x=3

i: (32-4x)(7-x)=0

=>(4x-32)(x-7)=0

=>4(x-8)*(x-7)=0

=>(x-8)(x-7)=0

=>\(\left[{}\begin{matrix}x-8=0\\x-7=0\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=8\\x=7\end{matrix}\right.\)

k: (8-x)(10-2x)=0

=>(x-8)(x-5)=0

=>\(\left[{}\begin{matrix}x-8=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=5\end{matrix}\right.\)

m: \(3^x+3^{x+1}=108\)

=>\(3^x+3^x\cdot3=108\)

=>\(4\cdot3^x=108\)

=>\(3^x=27\)

=>x=3

n: \(5^{x+2}+5^{x+1}=750\)

=>\(5^x\cdot25+5^x\cdot5=750\)

=>\(5^x\cdot30=750\)

=>\(5^x=25\)

=>x=2

\(6.\left(x-5\right)-12\left(x-3\right)-7\left(2-x\right)=-108\)

\(\Leftrightarrow6x-30-12x+36-14+7x=-108\)

\(\Leftrightarrow x=-100\)(Chuyển vế tất cả một bên là x và bên kia là số)

(Tớ chắc chắn là đúng, click cho tớ với nhá!)

Lời giải:

$45-5(x+4)=10$

$5(x+4)=45-10=35$

$x+4=35:5=7$

$x=7-4=3$

------------------------

$(7x-15):3-6=17$

$(7x-15):3=17+6=23$
$7x-15=23\times 3=69$

$7x=69+15=84$

$x=84:7=12$

------------------

$3^{x+2}-5.3^x=108$

$3^x(3^2-5)=108$

$3^x.4=108$

$3^x=108:4=27=3^3$

$\Rightarrow x=3$

\(45-5\left(x+4\right)=10\)

\(\Rightarrow5\left(x+4\right)=45-10\)

\(\Rightarrow5\left(x+4\right)=35\)

\(\Rightarrow x+4=35:5\)

\(\Rightarrow x+4=7\)

\(\Rightarrow x=7-4\)

\(\Rightarrow x=3\)

______________

\(\left(7x-15\right):3-6=17\)

\(\Rightarrow\left(7x-15\right):3=17+6\)

\(\Rightarrow\left(7x-15\right):3=23\)

\(\Rightarrow7x-15=23\cdot3\)

\(\Rightarrow7x-15=69\)

\(\Rightarrow7x=69+15\)

\(\Rightarrow7x=84\)

\(\Rightarrow x=12\)

______________

\(3^{x+2}-5\cdot3^x=108\)

\(\Rightarrow3^x\cdot\left(3^2-5\right)=108\)

\(\Rightarrow3^x\cdot\left(9-5\right)=108\)

\(\Rightarrow3^x\cdot4=108\)

\(\Rightarrow3^x=108:4\)

\(\Rightarrow3^x=27\)

\(\Rightarrow3^x=3^3\)

\(\Rightarrow x=3\)

Bài làm

a) 11 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19 - 20

= ( 11 - 12 ) + ( 13 - 14 ) + ( 15 - 16 ) + ( 17 - 18 ) + ( 19 - 20 )

= ( -1 ) + ( -1 ) + ( -1 ) + ( -1 ) + ( -1 )

= -5

b) 101 - 102 - ( - 103 ) - 104 - ( - 105 ) - 106 - ( - 107 ) - 108 - ( - 109 ) - 110

= 101 - 102 + 103 - 104 + 105 - 106 + 107 - 108 + 109 - 110

= ( 101 - 102 ) + ( 103 - 104 ) + ( 105 - 106 ) + ( 107 - 108 ) + ( 109 - 110 )

= ( -1 ) + ( -1 ) + ( -1 ) + ( -1 ) + ( -1 )

= -5

# Học tốt #

a)11 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19 - 20

= (11 - 12) + (13 - 14) + (15 - 16) + (17 - 18) + ( 19 - 20)

= (-1) + (-1) + (-1) + (-1) + (-1) = (-1) . 5 = - 5

b)101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110

= 101-102+103-104+105-106+107-108+109-110

= (101-102)+(103-104)+(105-106)+(107-108)+(109-110)

= (-1) + (-1) + (-1) + (-1) + (-1)

= (-1) . 5

= -5

a,11-12+13-14+15-16+17-18+19-20

=(11-12)+(13-14)+(15-16)+(17-18)+(19-20)

=(-1)+(-1)+(-1)+(-1)+(-1)

=-5

b,101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110

=101-102+103-104+105-106+107-108+109-110

=(101-102)+(103-104)+(105-106)+(107-108)+(109-110)

=(-1)+(-1)+(-1)+(-1)+(-1)

=-5

\(a,12^{13}.18^9.24^{25}\)

\(=2^{26}.3^{13}.2^9.3^{18}.2^{50}.3^{25}\)

\(=2^{85}.3^{56}\)

๖ۣۜVᶖệᵵ‿₳ᵰħ²ᴷ⁷《ღᵯįᵰ ღ》《Team BÁ ĐẠO.COM. LẬP KỈ LỤCC KHI HIẾP DÂM 300 NG CON GÁI

a)\(12-\left[25+\left(6+3\right)^2\right]\)

\(=12-\left[25+9^2\right]\)

\(=12-\left[25+81\right]\)

\(=12-106\)

\(=\left(-94\right)\)

b) \(315-\left(8^6\div8^4-12.3+7+7^3\right)\)

\(=316-\left(8^2-36+7+343\right)\)

\(=316-\left(64-43+343\right)\)

\(=316-\left(21+343\right)\)

\(=316-364\)

\(=\left(-48\right)\)

c) \(-81-108\)

 \(=-\left(81+108\right)\)

\(=\left(-189\right)\)

d) \(-13-91\)

\(=-\left(13+91\right)\)

\(=\left(-104\right)\)