Question

# ( left(x^{2}-3 xright)^{2}+3left(x^{2}-3 xright)+2=0 )

Solution

( left(x^{2}-3 xright)^{2}+3left(x^{2}-3 xright)+2=0 )

( left(x^{2}-3 x+1right)left(x^{2}-3 x+2right)=0 )

( x^{2}-3 x+1=0 quad ) or ( quad x-3 x+2=0 )

( x=3 pm sqrt{9-4} quad ) or ( quad(x-1)(x-2)=0 )

( Rightarrow x=frac{3 pm sqrt{5}}{2} quad ) or ( quad x=1,2 )