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\(\frac{6}{x^2+2}+\frac{12}{x^2+8}=3-\frac{7}{x^2+3}\)
\(\Leftrightarrow\frac{6}{x^2+2}-1+\frac{12}{x^2+8}-1=1-\frac{7}{x^2+3}\)
\(\Leftrightarrow\frac{6}{x^2+2}-\frac{x^2+2}{x^2+2}+\frac{12}{x^2+8}-\frac{x^2+8}{x^2+8}=\frac{x^2+3}{x^2+3}-\frac{7}{x^2+3}\)
\(\Leftrightarrow\frac{-x^2+4}{x^2+2}+\frac{-x^2+4}{x^2+8}=\frac{x^2-4}{x^2+3}\)
\(\Leftrightarrow\frac{-x^2+4}{x^2+2}+\frac{-x^2+4}{x^2+8}+\frac{-x^2+4}{x^2+3}=0\)
\(\Leftrightarrow\left(-x^2+4\right)\left(\frac{1}{x^2+2}+\frac{1}{x^2+8}+\frac{1}{x^2+3}\right)=0\)
\(\Leftrightarrow-x^2+4=0\left(\text{vì : }\frac{1}{x^2+2}+\frac{1}{x^2+8}+\frac{1}{x^2+3}\ne0\right)\)
<=>(2-x)(2+x)=0
<=>x=2 hoặc x=-2
Vậy S={-2;2}
\(\Rightarrow\frac{861.\left(x-214\right)}{75768}+\frac{902.\left(x-132\right)}{75768}+\frac{924.\left(x-54\right)}{75768}=6\)
\(\Rightarrow\frac{861x-184254}{75768}+\frac{902x-119064}{75768}+\frac{924x-49896}{75768}=6\)
\(\Rightarrow861x-184254+902x-119064+924x-49896=6\)
tự làm tiếp nhé!!!!!!!!!!!!!!
\(\frac{x-214}{88}+\frac{x-132}{84}+\frac{x-54}{82}=6\)
\(\frac{6888x-1474032+7216x-952512+7392x-399168}{606144}=\frac{3636864}{606144}\)
6888x+7216x+7392x=1474032+952512+399168+3636864
21496x=6462576
x=300,6408634
xl mk chi bt lm theo kieu thu cong thoi
ĐKXĐ: \(x\ne\left\{-1;-\frac{1}{2}\right\}\)
\(\Leftrightarrow\left(\frac{x^2-4x+1}{x+1}+1\right)+\left(\frac{x^2-5x+1}{2x+1}+1\right)=0\)
\(\Leftrightarrow\frac{x^2-3x+2}{x+1}+\frac{x^2-3x+2}{2x+1}=0\)
\(\Leftrightarrow\left(x^2-3x+2\right)\left(\frac{1}{x+1}+\frac{1}{2x+1}\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-2\right).\frac{3x+2}{\left(x+1\right)\left(2x+1\right)}=0\)
Tập nghiệm: \(S=\left\{1;2;-\frac{2}{3}\right\}\)
-0,333333333333