\(\frac{x-1}{x^2-x+1}-\frac{x+1}{x^2+x+1}=\frac{10}{x\left(x^4+x+1\right)}\)
\(\Leftrightarrow\frac{x\left(x-1\right)\left(x^2+x+1\right)-x\left(x+1\right)\left(x^2+x+1\right)-10}{x\left(x^4+x^2+1\right)}=0\)
\(\Rightarrow x\left(x^3-1\right)-x\left(x^3+1\right)-10=0\)
\(\Leftrightarrow x^4-x-x^4-x-10=0\)
\(\Leftrightarrow-2x-10=0\)
\(\Leftrightarrow x=-5\)
Giải phương trình :\(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x^2}\right)^2=\left(x+4\right)^2\)
giải phương trình: \(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)^2+4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x+4\right)^2\)
Giải phương trình:
\(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)^2-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x+4\right)^2\)
Giải phương trình:
\(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)^2-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x-4\right)^2\)
Giải phương trình
\(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x+4\right)^2\)
Giải phương trình
\(8.\left(x+\frac{1}{x}\right)^2+4.\left(x^2+\frac{1}{x^2}\right)-4.\left(x+\frac{1}{x}\right)^2.\left(x^2+\frac{1}{x^2}\right)=\left(x+4\right)^2\)
Giải phương trình \(\frac{1}{\left(x^2+5\right)\left(x^2+4\right)}+\frac{1}{\left(x^2+4\right)\left(x^2+3\right)}+\frac{1}{\left(x^2+3\right)\left(x^2+2\right)}+\frac{1}{\left(x^2+2\right)}+\frac{1}{\left(x^2+1\right)}\)
Giải phương trình: \(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)^2-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x+4\right)^2\)
\(8\left(x+\frac{1}{x}\right)^2+4\left(x^2+\frac{1}{x^2}\right)^2-4\left(x^2+\frac{1}{x^2}\right)\left(x+\frac{1}{x}\right)^2=\left(x+4\right)^2\)
Giải phương trình trên
