tìm x :
a, x + 5 = 25 - x
b ,x - 15 + 10 = 50
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a) x-(-25+x)=13-x
⇒ x+25-x=13-x
⇒ 13-x=25
⇒ x= -12
b) 15-(30+x)=x-(27-l-8l)
⇒ 15-30-x=x-(27-8)
⇒ -15-x=x-19
⇒ -x-x=-19+15
⇒ -2x+4=0
⇒ -2x=-4
⇒ x=2
c) (12x-43).83=4.84
⇒ 12x.83-43.83=4.84
⇒ 6144x-32768=16384
⇒ 6144x=49152
⇒ x=8
a: Ta có: \(x-\left(-25+x\right)=13-x\)
\(\Leftrightarrow13-x=25\)
hay x=-12
b: Ta có: \(15-\left(30+x\right)=x-\left(27-\left|-8\right|\right)\)
\(\Leftrightarrow-15-x=x-19\)
\(\Leftrightarrow-2x=-4\)
hay x=2
c: Ta có: \(\left(12x-4^3\right)\cdot8^3=4\cdot8^4\)
\(\Leftrightarrow\left(12x-64\right)\cdot512=16384\)
\(\Leftrightarrow12x-64=32\)
hay x=8
a)(-25)+15+x=50
(-10)+x=50
x=50-(-10)
x=50+10
x=60
b)(-25)+15+x=-35
(-10)+x=-35
x=(-35)-(-10)
x=(-35)+10
x=-25
c)(-25)+15+x=-10
(-10)+x=-10
x=-10-(-10)
x=-10+10
x=0
a,x-77-(-73)=34
x-77 =34+(-73)
x-77 =-39
x =(-39)+77
x =38
b,25-(x+8)-25=46
25-(X+8) =46-25
25-(x+8) =21
x+8 =25-21
x+8 =4
x =4-8
x =-4
a: =25(15+45*3)
=25*150
=3750
b: \(=-10\left(25+75-50\right)=-10\cdot50=-500\)
c: =>3^x-2=27
=>x-2=3
=>x=5
d: =>2x-5=-4
=>2x=1
=>x=1/2
e: =>2(x-1)^2=32
=>(x-1)^2=16
=>x-1=4 hoặc x-1=-4
=>x=-3 hoặc x=5
f: =>25(x+3)=75
=>x+3=3
=>x=0
a) \(x\in\left\{1;-1;5;-5;7;-7;35;-35\right\}\)
b) \(x\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
c) \(x\in\left\{0;25;50;75\right\}\)
d) Ta có: \(x+16⋮x+1\)
nên \(15⋮x+1\)
\(\Leftrightarrow x+1\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
hay \(x\in\left\{0;-2;2;-4;4;-6;14;-16\right\}\)
a) 35 \(⋮\) x \(\Rightarrow\) x \(\in\) Ư(35) = {\(\pm1;\pm5;\pm7;\pm35\)}
b) 15 \(⋮\) x \(\Rightarrow\) x \(\in\) Ư(15) = {\(\pm1;\pm3;\pm5;\pm15\)}
c) x \(⋮\) 25 \(\Rightarrow\) x \(\in\) B(25) = {\(0;25;50;75;100;...\)}
Mà x < 100 \(\Rightarrow\) x \(\in\){\(0;25;50;75\)}
d) x + 16 \(⋮\) x + 1
\(\Rightarrow\) x + 16 - (x + 1) \(⋮\) x + 1
\(\Rightarrow\) 15 \(⋮\) x + 1
\(\Rightarrow\) x + 1 \(\in\) Ư(15) = {\(\pm1;\pm3;\pm5;\pm15\)}
\(\Rightarrow\) x \(\in\) {\(0;-2;2;-4;4;-6;14;-16\)}
a, 245 - 5 . ( 16 + x ) = 140
5 . ( 16 + x ) = 245 - 140
5 . ( 16 + x ) = 145
16 + x = 145 : 5
16 + x = 29
x = 29 - 16
x = 13 .
b, ( x - 1945 ) . 5 = 50
x - 1945 = 50 : 5
x - 1945 = 10
x = 10 + 1945
x = 1955 .
c, 30 . ( 60 - x ) = 30
60 - x = 30 : 30
60 - x = 1
x = 60 - 1
x = 59 .
d, [ ( 250 - 25 ) : 15 ] : x = ( 450 - 60 ) : 130
[ 225 : 15 ] : x = 390 : 130
15 : x = 3
x = 15 : 3
x = 5 .
e, x : [ ( 1800 + 600 ) ] = 560 : ( 315 - 35 )
x : 2400 = 560 : 280
x : 2400 = 2
x = 2 . 2400
x = 4800 .
f, x . ( x + 1 ) = 2 + 4 + 6 + 8 + 10 + ... + 2500
2 + 4 + 6 + 8 + 10 + ... + 2500
Số số hạng của dãy số trên là :
( 2500 - 2 ) : 2 + 1 = 1250 ( số hạng )
=> 2 + 4 + 6 + 8 + 10 + 2500
= ( 2 + 2500 ) . 1250 : 2
= 2502 . 1250 : 2
= 3127500 : 2
= 1563750 .
Ta có :
x . ( x + 1 ) = 1563750
Mà : 1563750 = 1250 . 1251
=> x = 1250 .
\(a,\left(2\times x-40\right):10=-55\)
\(2\times x-40=-55\times10\)
\(2\times x-40=-550\)
\(2\times x=-550+40\)
\(2\times x=-510\)
\(x=-510:2\)
\(\Rightarrow x=-255\)
\(b,\left(2\times x+15\right):5=-40\)
\(2\times x+15=-40\times5\)
\(2\times x+15=-200\)
\(2\times x=-200-15\)
\(2\times x=-215\)
\(x=-215:2\)
\(\Rightarrow x=-\dfrac{215}{2}\)
\(c,\left(2\times x-72\right):8=25\)
\(2\times x-72=25\times8\)
\(2\times x-72=200\)
\(2\times x=200+72\)
\(2\times x=272\)
\(x=272:2\)
\(\Rightarrow x=136\)
a) x + 5 = 25 - x
=> x = 10
THử lại: 10 + 5 = 25 - 10
b) x - 15 + 10 = 50
x - 15 = 50 - 10
x - 15 = 40
x = 40 + 15
x = 55
a , x + 5 = 25 - x
x + x = 25 - 5
2x = 20
x = 20 : 2
x = 10
b , x - 15 + 10 = 50
x - 15 = 50 -10
x - 15 = 40
x = 40 + 15
x = 55