tìm x thuộc Q thỏa mãn
\(\frac{x-10}{30}+\frac{x-14}{43}+\frac{x-5}{95}+\frac{x-148}{8}\)=0
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23 tháng 2 2018
a, => (x-10/30 - 3) + (x-14/43 - 2) + (x-5/95 - 1) + x-100/8 = 0 ( vì x-148/8 = x-100/8 + 48/8 = x-100/8 + 6 )
=> x-100/30 + x-100/43 + x-100/95 + x-100/8 = 0
=> (x-100).(1/30 + 1/43 + 1/95 + 1/8) = 0
=> x-100 = 0 ( vì 1/30+1/43+1/95+1/8 > 0 )
=> x = 100
Vậy x = 100
Tk mk nha
CR
1
8 tháng 5 2021
\(\left(\frac{x-10}{30}-3\right)+\left(\frac{x-14}{43}-2\right)+\left(\frac{x-5}{95}-1\right)+\left(\frac{x-148}{8}+6\right)=0\)
\(\Leftrightarrow\left(\frac{x-10}{30}-\frac{90}{30}\right)+\left(\frac{x-14}{43}-\frac{86}{43}\right)+\left(\frac{x-5}{95}-\frac{95}{95}\right)+\left(\frac{x-148}{8}+\frac{48}{8}\right)=0\)
\(\Leftrightarrow\frac{x-100}{30}+\frac{x-100}{43}+\frac{x-100}{95}+\frac{x-100}{8}=0\)
\(\Leftrightarrow\left(x-100\right).\left(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\right)=0\)
\(\Rightarrow x-100=0\)( Do \(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\ne0\)
=> x=100
NV
0
KG
0
HN
3
NV
27 tháng 7 2016
\(\frac{x-10}{30}+\frac{x-14}{43}+\frac{x-5}{95}+\frac{x-148}{8}=0\)
\(\Rightarrow\frac{x-10}{30}-3+\frac{x-14}{43}-2+\frac{x-5}{95}-1+\frac{x-148}{8}+6=0\)
\(\Rightarrow\frac{x-100}{30}+\frac{x-100}{43}+\frac{x-100}{95}+\frac{x-100}{8}=0\)
\(\Rightarrow\left(x-100\right)\left(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\right)=0\)
mà \(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\ne0\)
=> x - 100 = 0 => x = 100
Vậy x = 100
13 tháng 9 2020
\(\frac{x+10}{30}+\frac{x+14}{43}+\frac{x+5}{95}+\frac{x+130}{5}=0\)
\(\Leftrightarrow\left(\frac{x+10}{30}+3\right)+\left(\frac{x+14}{43}+2\right)+\left(\frac{x+5}{95}+1\right)+\left(\frac{x+130}{5}-6\right)=0\)
\(\Leftrightarrow\frac{x+10+90}{30}+\frac{x+14+86}{43}+\frac{x+5+95}{95}+\frac{x+130-30}{5}=0\)
\(\Leftrightarrow\frac{x+100}{30}+\frac{x+100}{43}+\frac{x+100}{95}+\frac{x+100}{5}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{5}\right)=0\)
Vì \(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{5}\ne0\)
=> x + 100 = 0
=> x = -100
TB
6 tháng 3 2016
Ta có: x-10/30 + x-14/43 + x-5/95 + x-148/8 = 0
ð X-10/30 - 3 + x-14/43 - 2 + x-5/95 - 1 + x-148/8 + 6 = 0
ð X-10-90/30 + x-14-86/43 + x-5-95/95 + x-148+48/8 = 0
ð X-100/30 + X-100/43 + X-100/95 + X-100/8 = 0
ð {X-100} . {1/30 + 1/43 + 1/95 + 1/8} = 0
Vì: /30 + 1/43 + 1/95 + 1/8 khác 0
ð X-100 = 0
ð X = 100
KS
0
ta co( x-10 / 30 ) -3 + ( x -14 / 43 ) -2 + ( x-5 / 95 ) -1 + ( x- 148 / 8) + 6 =0
=> (x- 10 -90 / 30 ) + ( x- 14-86 / 43 ) + ( x- 5- 95 / 95) + ( x- 148 +48 ) =0
=> x-100 /30 + x-100 / 43 + x- 100 / 95 + x- 100 / 8 = 0
=> x-100 .( 1/30 + 1/43 +1/ 95 +1/ 8) =0
ma 1/30 + 1/43 + 1/ 95 + 1/8 khac 0 => x-100 =0 => x=100
h cho minh truoc da