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Nhân chéo nha :
\(\left(23+x\right).4=\left(40+x\right).3\)
Câu b cũng vậy
HD dùng PP Quy đồng tử (không quy đồng Mẫu)
\(\left(\frac{x+10}{270}+10\right)+\left(\frac{x+20}{260}+10\right)=\left(\frac{x+30}{250}+10\right)+\left(\frac{x+40}{240}+10\right)\\ \)
\(\left(x+280\right)\left(....\right)=0\)chú ý (...) thường khác không nếu bằng =0=> đúng với mọi x
nếu khác không=> x=-280
\(\frac{\text{4}5-x}{1963}+\frac{\text{4}0-x}{1968}+\frac{35-x}{1973}+\frac{30-x}{1978}+\text{4}=0\)
tham khảo nhé
https://olm.vn/hoi-dap/detail/103171879928.html
\(\frac{45-x}{1963}+\frac{40-x}{1968}+\frac{35-x}{1973}+\frac{30-x}{1978}+4=0\)
\(\Leftrightarrow\left(\frac{45-x}{1963}+1\right)+\left(\frac{40-x}{1968}+1\right)+\left(\frac{35-x}{1973}+1\right)+\left(\frac{30-x}{1978}+1\right)=0\)
\(\Leftrightarrow\frac{2008-x}{1963}+\frac{2008-x}{1968}+\frac{2008-x}{1973}+\frac{2008-x}{1973}=0\)
\(\Leftrightarrow\left(2008-x\right)\left(\frac{1}{1963}+\frac{1}{1968}+\frac{1}{1973}+\frac{1}{1978}\right)=0\)
\(\Leftrightarrow x=2008\)
Ta có:
a) \(\Leftrightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Leftrightarrow3x+6=-4x+20\)
\(\Leftrightarrow7x=14\Leftrightarrow x=2\)
\(c.x\left(\frac{2}{5}-\frac{3}{5}\right)=\frac{2}{35}\)
\(x=\frac{2}{35}:\frac{-1}{5}=-\frac{2}{7}\)
\(d.\left(2x+1\right)^2=49=7^2=\left(-7\right)^2\)
\(TH1:2x+1=7\Rightarrow x=3\)
\(TH2=2x+1=-7\Rightarrow x=-4\)
\(a.x=\frac{-3}{5}-\frac{4}{9}=\frac{-47}{45}\)
\(b.\frac{3}{5}:x=\frac{17}{10}-\frac{2}{5}\)
\(x=\frac{3}{5}:\frac{13}{10}=\frac{6}{13}\)
\(\frac{x+10}{90}+\frac{x+20}{80}+\frac{x+30}{70}+\frac{x+40}{60}+\frac{x+50}{50}=-5\)
<=> \(\frac{x+10}{90}+1+\frac{x+20}{80}+1+\frac{x+30}{70}+1+\frac{x+40}{60}+1+\frac{x+50}{50}+1=0\)
<=> \(\frac{x+100}{90}+\frac{x+100}{80}+\frac{x+100}{70}+\frac{x+100}{60}+\frac{x+100}{50}=0\)
<=> \(\left(x+100\right)\left(\frac{1}{90}+\frac{1}{80}+\frac{1}{70}+\frac{1}{60}+\frac{1}{50}\right)=0\)
<=> x + 100 = 0
<=> x = -100
Vậy x = -100
QĐMS :
X x 40/1200 + X x 30/1200 = 35 x 300/4 x 300 = 10500/1200
= X x 40 + X x 30/1200 = 10500/1200
= X x 70/1200 = 10500/1200
= X = 10500 : 70
= X = 150
\(x=150\)