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H
1
S
15 tháng 5 2019
\(x-\frac{15}{95}+x-\frac{17}{93}+x-\frac{23}{87}+x-\frac{37}{73}=4\)
\(\Rightarrow x+x+x+x-\frac{15}{95}-\frac{17}{93}-\frac{23}{87}-\frac{37}{73}=4\)
\(\Rightarrow4x-\)\(\left(\frac{15}{95}+\frac{17}{93}+\frac{23}{87}+\frac{37}{73}\right)=4\)
Tự làm nốt nhé bạn !
~Study well~
#ARMY + BLINK#
TX
1
31 tháng 8 2016
\(\frac{x-11}{95}+\frac{x-13}{93}=\frac{x-15}{91}+\frac{x-17}{89}\) => \(\frac{x-11}{95}-1+\frac{x-13}{93}-1=\frac{x-15}{91}-1+\frac{x-17}{89}-1\)
=>\(\frac{x-106}{95}+\frac{x-106}{93}=\frac{x-106}{91}+\frac{x-106}{89}\)
=>\(\left(\frac{1}{95}+\frac{1}{93}\right)\left(x-106\right)-\left(\frac{1}{91}+\frac{1}{89}\right)\left(x-106\right)=0\)
<=>\(\left[\left(\frac{1}{95}+\frac{1}{93}\right)-\left(\frac{1}{91}+\frac{1}{89}\right)\right]\left(x-106\right)=0\).Vì\(\frac{1}{95}< \frac{1}{91};\frac{1}{93}< \frac{1}{89}\) nên\(\frac{1}{95}+\frac{1}{93}< \frac{1}{91}+\frac{1}{89}\)
=>\(\left(\frac{1}{95}+\frac{1}{93}\right)-\left(\frac{1}{91}+\frac{1}{89}\right)< 0\) hay khác 0.Vậy x - 106 = 0, tìm được x = 106
NN
26 tháng 7 2023
`a,`
\((- 5) .x + 17 = - 23\)
`\Rightarrow (-5)x = -23 - 17`
`\Rightarrow (-5)x =-40`
`\Rightarrow x = (-40) \div (-5)`
`\Rightarrow x = 8`
Vậy,` x = 8`
`b,`
\(8 + 4x = - 24\)
`\Rightarrow 4x = -24 - 8`
`\Rightarrow 4x = -32`
`\Rightarrow x = -32 \div 4`
`\Rightarrow x = -8`
Vậy, `x = -8`
`c,`
\(32 – 12 + x = -10\)
`\Rightarrow 20 + x = -10`
`\Rightarrow x = -10 - 20`
`\Rightarrow x = -30`
Vậy, `x = -30`
`d,`
\(x – 87 + 13 = - 100\)
`\Rightarrow x - 87 = -100 - 13`
`\Rightarrow x - 87 = -113`
`\Rightarrow x = -113 + 87`
`\Rightarrow x = -26`
Vậy, `x = -26.`
TT
2 tháng 9 2020
Ta có :
\(\frac{x-3}{97}+\frac{x-27}{73}+\frac{x-67}{33}+\frac{x-73}{27}=4\)
\(\Leftrightarrow\left(\frac{x-3}{97}-1\right)+\left(\frac{x-27}{73}-1\right)+\left(\frac{x-67}{33}-1\right)+\left(\frac{x-73}{27}-1\right)=0\)
\(\Leftrightarrow\frac{x-100}{97}+\frac{x-100}{73}+\frac{x-100}{33}+\frac{x-100}{27}=0\)
\(\Leftrightarrow\left(x-100\right)\left(\frac{1}{97}+\frac{1}{73}+\frac{1}{33}+\frac{1}{27}\right)=0\)
Vì \(\frac{1}{97}+\frac{1}{73}+\frac{1}{33}+\frac{1}{27}>0\) Nên \(x-100=0\)
\(\Leftrightarrow x=100\)
Vậy \(x=100\)
2 tháng 9 2020
\(\Leftrightarrow\frac{x-3}{87}+\frac{x-27}{79}+\frac{x-67}{33}+\frac{x-73}{27}-4=0\)
\(\Leftrightarrow\left(\frac{x-3}{97}-1\right)+\left(\frac{x-27}{73}-1\right)+\left(\frac{x-67}{33}-1\right)+\left(\frac{x-73}{27}-1\right)=0\)
\(\Leftrightarrow\left(\frac{x-3-97}{97}\right)+\left(\frac{x-27-73}{73}\right)+\left(\frac{x-67-33}{33}\right)+\left(\frac{x-73-27}{27}\right)=0\)
\(\Leftrightarrow\frac{x-100}{97}+\frac{x-100}{73}+\frac{x-100}{33}+\frac{x-100}{27}=0\)
\(\Leftrightarrow\left(x-100\right)\left(\frac{1}{97}+\frac{1}{73}+\frac{1}{33}+\frac{1}{27}\right)=0\)
Vì \(\frac{1}{97}+\frac{1}{73}+\frac{1}{33}+\frac{1}{27}\ne0\)
\(\Rightarrow x-100=0\Leftrightarrow x=100\)
16 tháng 5 2016
b) \(\frac{x-11}{89}+\frac{x-13}{87}+\frac{x-15}{85}+\frac{x-17}{83}=4\)
\(=>\left(\frac{x-11}{89}-1\right)+\left(\frac{x-13}{87}-1\right)+\left(\frac{x-15}{85}-1\right)+\left(\frac{x-17}{83}-1\right)=0\)
\(=>\frac{x-100}{89}+\frac{x-100}{87}+\frac{x-100}{85}+\frac{x-100}{83}=0\)
\(=>\left(x-100\right)\left(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\right)=0\)
=> x-100 =0 => x=100
Vậy nghiệm là 100
11 tháng 10 2021
\(a,\Leftrightarrow\left|x\right|=\dfrac{1}{3}-x\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}-x\left(x\ge0\right)\\x=x-\dfrac{1}{3}\left(x< 0\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{6}\left(tm\right)\\0x=-\dfrac{1}{3}\left(vô.nghiệm\right)\end{matrix}\right.\\ \Leftrightarrow x=\dfrac{1}{6}\)
\(b,\Leftrightarrow\left|x\right|=\dfrac{3}{4}+x\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}+x\left(x\ge0\right)\\x=-\dfrac{3}{4}-x\left(x< 0\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}0x=\dfrac{3}{4}\left(vô.nghiệm\right)\\x=-\dfrac{3}{8}\left(tm\right)\end{matrix}\right.\\ \Leftrightarrow x=-\dfrac{3}{8}\)
S
1
1 tháng 11 2020
\(\left|x+\frac{3}{4}\right|-\frac{1}{3}=0\)
\(\left|x+\frac{3}{4}\right|=\frac{1}{3}\)
\(\Rightarrow x+\frac{3}{4}=\pm\frac{1}{3}\)
\(\cdot x+\frac{3}{4}=\frac{1}{3}\)
\(x=-\frac{5}{12}\)
\(\cdot x+\frac{3}{4}=-\frac{1}{3}\)
\(x=-\frac{13}{12}\)
link này nek bn
https://olm.vn/hoi-dap/detail/221755736772.html
\(\frac{x-15}{95}+\frac{x-17}{93}+\frac{x-23}{87}+\frac{x-37}{73}=4\)
\(\Leftrightarrow\frac{x-15}{95}+\frac{x-17}{93}+\frac{x-23}{87}+\frac{x-37}{73}-4=0\)
\(\Leftrightarrow\left(\frac{x-15}{95}-1\right)+\left(\frac{x-17}{93}-1\right)+\left(\frac{x-23}{87}-1\right)+\left(\frac{x-37}{73}-1\right)=0\)
\(\Leftrightarrow\frac{x-15-95}{95}+\frac{x-17-93}{93}+\frac{x-23-87}{87}+\frac{x-37-73}{73}=0\)
\(\Leftrightarrow\frac{x-110}{95}+\frac{x-110}{93}+\frac{x-110}{87}+\frac{x-110}{73}=0\)
\(\Leftrightarrow\left(x-110\right)\left(\frac{1}{95}+\frac{1}{93}+\frac{1}{87}+\frac{1}{73}\right)=0\)
\(\Leftrightarrow x-110=0\)
\(\Leftrightarrow x=110\)