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3/2.(x-5/3)+4/5=x+1
3/2.x-3/2.5/3+4/5=x+1
3/2.x-5/2-x=1+4/5
3/2.x-5/2-x=9/5
3/2.x-x=9/5+5/2
1/2.x=43/10
x=43/10:1/2
x=43/5
( 1 + x ) + ( 2 + x ) + ( 3 + x ) + ...+ ( 100 + x ) = 2018
\(\Rightarrow\)( 1 + 2 + 3 + ... + 100 ) + ( x + x + x + ... + x ) = 2018
\(\Rightarrow\){( 1 + 100 ) . [( 100 - 1 ) : 1 + 1 ] : 2 } + ( x + x + ... + x ) = 2018
\(\Rightarrow\)5050 + x . 100 = 2018
\(\Rightarrow\) x100 = 2018 - 5050 = -3032
\(\Rightarrow\)x = -3032 : 100 = -30,32
vậy x = -30,32
mà nè sai thì xin lỗi đề hơi có vấn đề nếu sai thì sorry nha !!!
b) \(\left(x+1\right)+\left(x+4\right)+...+\left(x+28\right)=155\)
\(\Leftrightarrow10x+\left(1+4+...+28\right)=155\)
\(\Leftrightarrow10x+145=155\)
\(\Leftrightarrow10x=10\)
\(\Leftrightarrow x=1\)
Vậy x=1
1) 18 . x+x+x=48x25
=18 .x + 2. x=4 . 5. 12 .5
=20.x=20.60
=>x=120:20=60
2) [(2.x-5):(15+10)].20=100
(2x-5):25=20.100
(2x-5):25=2000
2x-5=2000x25
2x-5=50000
2x=50005
x=\(\frac{50005}{2}\)
1) 18.x+x+x=48.25
=> 20x=1200
=> x=60
2) [(2x-5):(15+10)].20=100
=> (2x-5):25 =5
=>2x-5= 125
=>2x=130
=>x=65
\(x-\left(1-x\right)=5+\left(-1+x\right)\)
\(\Leftrightarrow x-1+x=5-1+x\)
\(\Leftrightarrow2x-1=x+4\)
\(\Leftrightarrow2x-x=1+4\)
\(\Leftrightarrow x=5\)
Lời giải:
$x^2+x+1\vdots x+1$
$\Rightarrow x(x+1)+1\vdots x+1$
$\Rightarrow 1\vdots x+1$
$\Rightarrow x+1\in \left\{1; -1\right\}$
$\Rightarrow x\in \left\{0; -2\right\}$
x\(^2\)+x+1⋮x+1
=x(x+1)+1⋮x+1
=1⋮x+1
=x+1∈{1;−1}
=x∈{0;−2}
`@` `\text {Ans}`
`\downarrow`
\(\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{5}\right)...\left(1-\dfrac{1}{1000}\right)\)
`=`\(\left(\dfrac{2}{2}-\dfrac{1}{2}\right)\times\left(\dfrac{3}{3}-\dfrac{1}{3}\right)\times\left(\dfrac{4}{4}-\dfrac{1}{4}\right)...\left(\dfrac{1000}{1000}-\dfrac{1}{1000}\right)\)
`=`\(\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times...\times\dfrac{999}{1000}\)
`=`\(\dfrac{1}{1000}\)
\(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}.......\dfrac{99}{100}=\dfrac{1}{100}\)