\(x^4-4x^3-10x^2+37x-14=0\)

\(\left(x^2-x+1\right)^4-10\left(x^2-x+1\right)^2+9x^4=0\)

Tìm nghiệm nguyên

\(4x^4+8x^2y+3y^2-4y-15=0\)

\(\frac{x^2-3x+5}{x^2-4x+5}-\frac{x^2-5x+5}{x^2-6x+5}=-\frac{1}{4}\)

\(\left(x-2\right)^4+\left(x-3\right)^4=1\)

\(x^2+\left(\frac{x-1}{x}\right)^2=8\)

\(x.\frac{8-x}{x-1}\left(x-\frac{8-x}{x-1}\right)=15\)

\(\left(\frac{x+2}{x+1}\right)^2+\left(\frac{x-2}{x-1}\right)^2-\frac{5}{2}.\frac{x^2-4}{x^2-1}=0\)

Giải pt

\(\left|x-8\right|^5+\left|x-9\right|^3=1\)