Tìm x
a) ( x - 149 ) : 35 = 270
b) ( 2009 - x ) : 29 + 32 = 100
c) x + 472 = 918
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a. \(\dfrac{x}{5}=\dfrac{8}{10}\)
\(\Rightarrow10x=8.5\)
\(\Rightarrow10x=40\)
\(\Rightarrow x=\dfrac{40}{10}=4\)
b. \(\dfrac{9}{x}=\dfrac{90}{100}\)
\(\Rightarrow9.100=90x\)
\(\Rightarrow900=90x\)
\(\Rightarrow x=\dfrac{900}{90}=10\)
c. \(17+\dfrac{x}{35}=\dfrac{5}{7}\)
\(\Rightarrow\dfrac{595+x}{35}=\dfrac{25}{35}\)
\(\Rightarrow595+x=25\)
\(\Rightarrow x=25-595=-570\)
d. \(x:\dfrac{5}{27}=\dfrac{2}{9}\)
\(\Rightarrow\dfrac{27x:5}{27}=\dfrac{6}{27}\)
\(\Rightarrow27x:5=6\)
\(\Rightarrow27x=5.6\)
\(\Rightarrow27x=30\)
\(\Rightarrow x=\dfrac{30}{27}=\dfrac{10}{9}\approx1,11\)
c: 90\(⋮\)x-2
=>\(x-2\in\){1;-1;2;-2;3;-3;5;-5;6;-6;9;-9;10;-10;15;-15;18;-18;30;-30;45;-45;90;-90}
=>x\(\in\){3;1;4;0;5;-1;7;-3;8;-4;11;-7;12;-8;17;-13;20;-16;32;-28;47;-43;92;-88}
mà 10<=x<=90
nên \(x\in\left\{11;12;17;20;32;47\right\}\)
d: \(x⋮12\)
=>\(x\in\left\{0;12;24;36;48;60;72;...\right\}\)
mà 30<=x<=60
nên \(x\in\left\{36;48;60\right\}\)
a: x-140:35=270
=>x-4=270
=>x=270+4=274
b: \(\left(3x-1\right)^2-3^2=4^2\)
=>(3x-1)2-9=16
=>\(\left(3x-1\right)^2=25\)
=>\(\left[{}\begin{matrix}3x-1=5\\3x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=6\\3x=-4\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\)
( 2009 - x ) : 29 + 32 = 100
( 2009 - x ) : 29 = 100 - 32
( 2009 - x ) : 29 = 68
( 2009 - x ) = 68 . 29
2009 - x = 1972
x = 2009 - 1972
x = 37
[2009 - x] : 29 =100-32
[2009-x] : 29 =68
2009-x =68x29
2009-x=1972
x=2009-1972
x=37
(2009-x) : 29 + 32 = 100
(2009-x): 29 = 68
2009-x = 68 x 29
2009 - x = 2001
x= 2009 - 2001
x=8
( 2009 - x ) : 29 + 32 = 100
( 2009 - x ) : 29 = 100 - 32
( 2009 - x ) : 29 = 68
2009 - x = 68 x 29
2009 - x = 1972
x = 2009 - 1972
x = 37
bài 2 tìm x
a,106- ( x+ 7) =9
x+7 = 106 - 9
x+7 = 107
x= 107 - 7
x=100
b, 2 x ( x+ 4) + 5 =65
2 x (x+4) = 65 - 5
2 x (x+4) = 60
x+4 = 60:2
x+4= 30
x= 30 - 4
x=26
c, (16x x -32) x 45=0
16 x X - 32 = 0: 45
16 x X - 32 =0
16 x X = 0 + 32
16 x X = 32
X= 32:16
X=2
d, x+4 x x = 100 : 5
X + 4 x X = 20
(1+4) x X = 20
5 x X = 20
X= 20:5
X=4
a) => 12925 : x = 3522 - 3247
12925 : x = 275
x = 12925 : 275
x = 47
b) => 17658 : x = 149 + 178
17658 : x = 327
x = 17658 : 327
x = 54
a) x ∈ 4 ; 3
b) − 19 23 < − 19 x < − 19 29 ⇒ x ∈ 24 ; 25 ; 26 ; 27 ; 28
a: =>31-x=60
=>x=-29
b: =>(x-140):35=280-270=10
=>x-140=350
=>x=490
c: =>(1900-2x):35=48
=>1900-2x=1680
=>2x=220
=>x=110
d: =>\(2^{2x-1}=2^9\cdot2=2^{11}\)
=>2x-1=11
=>x=6
e: =>(x+2)^5=4^5
=>x+2=4
=>x=2
f: =>3x-4=0 hoặc x-1=0
=>x=4/3 hoặc x=1
g: =>(2x-1)^2=49
=>2x-1=7 hoặc 2x-1=-7
=>x=-3 hoặc x=4
h: =>x(x+1)/2=78
=>x(x+1)=156
=>x=12
#)Giải :
a)\(\left(x-149\right)\div35=270\)
\(\Leftrightarrow x-149=9450\)
\(\Leftrightarrow x=9599\)
\(a,(x-149):35=270\)
\(\Leftrightarrow x-149=9450\)
\(\Leftrightarrow x=9450+149=9599\)
Vậy x = 9599
\(b,(2009-x):29+32=100\)
\(\Leftrightarrow(2009-x):29=68\)
\(\Leftrightarrow2009-x=1972\)
\(\Leftrightarrow x=2009-1972=37\)
Vậy x = 37
\(c,x+472=918\)
\(\Leftrightarrow x=918-472=446\)
Vậy x = 446