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a/ x = (2015 . 2016) : 2015 =2016
b/ 503.5x + 2014 . 2013 = 106742 + 2014 . 2013 => 503.5x = 106742 => x = 212
c/ 71x + 260x = x+ 140 + 260x => 70x = 140 => x= 2
d/ x = 583 - 237 = 346
e/ x = 575 + 836 = 1411
g/ x = 3692 : 142 = 26
h/ x = 8928 : 124 = 72
i/ x = 168 . 34 = 5712
g/ x = 3692 : 142 = 26
\(a.\left(x\times0,25+1999\right)\times2000=2052\times2000\\ \left(x\times0,25+1999\right)\times2000=4104000\\ x\times0,25+1999=4104000:2000\\ x\times0,25+1999=2052\\ x\times0,25=2052-1999\\ x\times0,25=53\\ x=53:0,25\\ x=212\)
( X x 0,25+ 1999) x2000= ( 53+1999) x2000
( X x 0,25+ 1999) = ( 53+1999)x2000:2000
( X x 0,25+1999) =( 53+1999)
( X x 0,25+1999) = 2052
X+0,25 = 2052 - 1999
X+ 0,25 = 53
X = 53:0,25
X = 212
71+65 x4 = x+140/x + 260
x+140/x + 260= 71+65x4
x+140/x + 260=71 + 260
x+140/x=71
x/x +140/x=71
1+ 140/x=71
140/x=71-1
140/x=70
x=140/70
x=2
k nha linh
( x + 1 ) + ( x + 4 ) + ( x + 7 ) + ( x + 10) + ..........+ ( x + 28 ) = 155
10x + ( 1 + 4 + 7 + ... + 28 ) = 155
10x + 145 = 155
10x = 155 - 145
10x = 10
x = 10 : 10
Vậy x = 1
\(a,\left[x+1\right]+\left[x+4\right]+\left[x+7\right]+\left[x+10\right]+...+\left[x+28\right]=155\)
\(\Leftrightarrow x+1+x+4+x+7+x+10+...+x+28=155\)
\(\Leftrightarrow(x+x+x+...+x)+(1+4+7+...+28)=155\)
\(\Leftrightarrow10x+145=155\)
\(\Leftrightarrow10x=155-145\)
\(\Leftrightarrow10x=10\)
\(\Leftrightarrow x=1\)
\(b)(x\times0,25+1999)\times2000=(53+1999)\times2000\)
\(\Leftrightarrow(x\times0,25+1999)\times2000=4104000\)
\(\Leftrightarrow(x\times0,25+1999)=4104000:2000\)
\(\Leftrightarrow(x\times0,25+1999)=2052\)
\(\Leftrightarrow x\times0,25=2052-1999\)
\(\Leftrightarrow x\times0,25=53\)
\(\Leftrightarrow x=53:0,25=212\)
Câu c tự làm
Ta có 1+1/2014 +1/x=1/(x+1)+1+1/2013 nên 1/x-1/(x+1)=1/2013-1/(2013+1) nên x=2013
Ta có: \(\frac{1}{x}-\frac{1}{x+1}=\frac{2014}{2013}-\frac{2015}{2014}\)
<=> \(\frac{1}{x\left(x+1\right)}=\frac{2014^2-2015.2013}{2013.2014}=\frac{1}{2013.2014}\)
<=> x(x+1)=2013.2014
=> x=2013
Đáp số: x=2013
( 2013 x 2014 + 2014 x 2015 + 2015 x 2016) x ( 1 + 1/3 - 4/3)
=( 2013 x 2014 + 2014 x 2015 + 2015 x 2016) x ( 4/3 - 4/3)
=( 2013 x 2014 + 2014 x 2015 + 2015 x 2016) x 0
=0
Ta có: \(\left(2013\cdot2014+2014\cdot2015+2015\cdot2016\right)\left(1+\dfrac{1}{3}-\dfrac{4}{3}\right)\)
\(=\left(2013\cdot2014+2014\cdot2015+2015\cdot2016\right)\left(\dfrac{3}{3}+\dfrac{1}{3}-\dfrac{4}{3}\right)\)
=0
#)Giải :
\(71+65.4=\frac{x+140}{x}+260\)
\(\frac{x+140}{x}+260=71+65.4\)
\(\frac{x+140}{x}+260=71+260\)
\(\frac{x+140}{x}=71\)
\(\frac{x}{x}+\frac{140}{x}=71\)
\(1+\frac{140}{x}=71\)
\(\frac{140}{x}=71-1\)
\(\frac{140}{x}=70\)
\(x=140:70\)
\(x=2\)
#~Will~be~Pens~#
\(71+65.4=\frac{x+140}{x}+260\)
\(\Rightarrow\frac{x+140}{x}+260=71+65.4\)
\(\frac{x+140}{x}+260=331\)
\(\frac{x+140}{x}=331-260=71\)
\(\frac{x}{x}+\frac{140}{x}=71\)
\(1+\frac{140}{x}=71\)
\(\frac{140}{x}=71-1=70\)
\(x=\frac{140}{70}=2\)
Vậy x=2
c ) 71 + 260 = \(\frac{x}{x}\)+\(\frac{140}{x}\)+260
331 = 1 + \(\frac{140}{x}\)+260
331 = \(\frac{140}{x}\)+261
331 = 140 : x + 261
140 : x = 331 - 261
140 : x = 70
x = 140 : 70
x = 2
x =2 nha