Question

giải phương trình : x⁴-5x³+8x²-5x+1

mn giúp e vs . cần gấp lắm ạ :"(

Answer 1

+)x=0 khong phai la nghiem cua phuong trinh

+)chia ca 2 ve cho \(x^2\ne\) 0 ta co:

\(x^2-5x+8-\frac{5}{x}+\frac{1}{x^2}=0\)

\(\Leftrightarrow\left(x^2+\frac{1}{x^2}\right)-5\left(x+\frac{1}{x}\right)+8=0\)         (1)

Dat \(x+\frac{1}{x}=a\)   \(\left(\left|a\right|\ge2\right)\)

\(\Rightarrow\)\(x^2+\frac{1}{x^2}=a^2-2\)

(1)\(\Leftrightarrow\)\(\left(a^2-2\right)-5a+8=0\)

den day ban tu giai tiep nhe