Question

Giải phương trình: 
\(\left(x^2+2x\right)^2-x^2+2x+2=0\)

Answer 1

\(\left(x^2+2x\right)^2-x^2+2x+2=0\)

↔\(x^4+4x^3+4x^2-x^2+2x+2=0\)

↔\(x^4+x^3+3x^3+3x^2+2x+2=0\)

↔\(x^3\left(x+1\right)+3x^2\left(x+1\right)+2\left(x+1\right)=0\)

↔\(\left(x+1\right)\left(x^3+3x^2+2\right)=0\)

↔\(\left[\begin{array}{nghiempt}x+1=0\\x^3+3x^2+2=0\end{array}\right.\)↔\(\left[\begin{array}{nghiempt}x=-1\\\left[\begin{array}{nghiempt}x\approx-3,2\\x\in\varnothing\end{array}\right.\end{array}\right.\)

 

Answer 2

Giải phương trình: 
(x2+2x)2−x2+2x+2=0