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20 tháng 2 2016

2.x+2.5=10

=>2(x+5)=10

=>x+5=10:2

=>x+5=5

=>x=5-5

=>x=0

20 tháng 2 2016

2.x+2.5=10

2.x+2=10:5

2.x+2=2

2.x=2-2

2.x=0

x=0:2

x=0

27 tháng 8 2015

10^X=1^X

Do 1^mấy cũng =1

=>10^x=1 

=>x=0

a: \(\Leftrightarrow\left[\left(3x+14\right):4-3\right]:2=1\)

=>(3x+14):4-3=2

=>(3x+14):4=5

=>3x+14=20

=>3x=6

hay x=2

b: \(\Leftrightarrow\left[\left(x:4+17\right):10+3\cdot16\right]:10=5\)

\(\Leftrightarrow\left(x:4+17\right):10=50-48=2\)

=>x:4+17=20

=>x:4=3

hay x=12

c: \(\Leftrightarrow2\cdot15^2+\left[2\cdot125-\left(2x+4\right)\cdot5\right]:19=453\)

\(\Leftrightarrow250-\left(2x+4\right)\cdot5=\left(453-450\right)\cdot19=57\)

=>5(2x+4)=197

=>2x+4=197/5

=>2x=177/5

hay x=177/10

d: \(\Leftrightarrow\left(19x+50\right):14=5^2-4^2=9\)

=>19x+50=126

=>19x=76

hay x=4

e: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=18\cdot3^{12}\)

\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)

hay x=14

f: \(\Leftrightarrow3\left(x+2\right):7=30\)

=>3(x+2)=210

=>x+2=70

hay x=68

g: \(2480-1570+200-x+5=1010\)

=>1115-x=1010

hay x=105

 

20 tháng 8 2019

\(a.\)\(10x+2^2.5=10\)

\(\Leftrightarrow10x+4.5=10\)

\(\Leftrightarrow10x+20=10\)

\(\Leftrightarrow10x=10-20\)

\(\Leftrightarrow10x=-10\)

\(\Leftrightarrow x=-10:10\)

\(\Leftrightarrow x=-1\)

\(b.\)\(125-5\left(4+x\right)=15\)

\(\Leftrightarrow5\left(4+x\right)=125-15\)

\(\Leftrightarrow5\left(4+x\right)=110\)

\(\Leftrightarrow4+x=110:5\)

\(\Leftrightarrow4+x=22\)

\(\Leftrightarrow x=22-4\)

\(\Leftrightarrow x=18\)

\(c.\)\(2^6+\left(218-x\right)=73\)

\(\Leftrightarrow64+\left(218-x\right)=73\)

\(\Leftrightarrow218-x=73-64\)

\(\Leftrightarrow218-x=9\)

\(\Leftrightarrow x=218-9\)

\(\Leftrightarrow x=209\)

20 tháng 8 2019

a)10x+22.5=10

=>10x+4.5=10

=>10x+20 =10

=>10x       =10-20

=>10x       =-10

=>x           =-10:10

=>x           =-1

b)125-5(4+x)=15

=>5(4+x)       =125-15

=>5(4+x)       =110

=>x+4           =110:5

=>x+4           =22

=>x               =22-4

=>x               =18

c)26+(218-x)=73

=>218-x       =73-64

=>218-x       =9

=>x              =218-9

=>x              =209

27 tháng 6 2018

\(x^{10}=x\Leftrightarrow x^{10}-x=0\Leftrightarrow x.\left(x^9-1\right)=0\Leftrightarrow\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}}\\ \)

b: \(\Leftrightarrow x+1+9⋮x+1\)

\(\Leftrightarrow x+1\in\left\{1;-1;3;-3;9;-9\right\}\)

hay \(x\in\left\{0;-2;2;-4;8;-10\right\}\)

c: \(\Leftrightarrow5^x\cdot5-5^2=4\cdot5^7\)

\(\Leftrightarrow5\left(5^x-5\right)=4\cdot5^7\)

\(\Leftrightarrow5^x-5=4\cdot5^6\)

\(\Leftrightarrow5^x=62505\)

hay \(x\in\varnothing\)

29 tháng 7 2023

\(76-\left\{2\cdot\left[2\cdot5^2-\left(31-2\cdot3\right)\right]\right\}\)

\(=76-\left\{2\cdot\left[2\cdot25-\left(31-6\right)\right]\right\}\)

\(=75-\left[2\cdot\left(50-25\right)\right]\)

\(=76-\left(2\cdot25\right)\)

\(=76-50\)

\(=26\)

____________________

\(6^2\cdot10:\left\{780:\left[10^3-\left(2\cdot5^3+35\cdot14\right)\right]\right\}\)

\(=36\cdot10:\left\{780:\left[1000-\left(2\cdot125+490\right)\right]\right\}\)

\(=360:\left\{780:\left[1000-\left(250+490\right)\right]\right\}\)

\(=360:\left[780:\left(1000-740\right)\right]\)

\(=360:\left(780:260\right)\)

\(=360:3\)

\(=120\)

a: =76-{2*[2*25-31+6]}

=76-{2*[50-31+6]}

=76-2*25

=76-50=26

b: \(=360:\left\{\dfrac{780}{1000-2\cdot125-490}\right\}\)

\(=360:\dfrac{780}{260}\)

=360/3=120