A higher order equation of grade two X quartic power - 2008x power + 2009x-2008 = 0 The answer is x = (- 1 plus minus root 8033) / 2

A higher order equation of grade two X quartic power - 2008x power + 2009x-2008 = 0 The answer is x = (- 1 plus minus root 8033) / 2

x^4-2008x^2+2009x-2008
=(x^4+x)-2008x^2+2008x-2008
=x(x+1)(x^2-x+1)-2008(x^2-x+1)
=(x^2-x+1)(x^2+x-2008)=0
X ^ 2-x + 1 has no solution,
x^2+x-2008=0
x=(-1±√8033)/2