Question

x^4-x^3-10x^2+2x+4=0

Answer 1

$x^4-x^3-10x^2+2x+4=0$

$x^4-3x^3+2x^3-6x^2-2x^2-2x^2+6x-4x+4=0$

$x^2(x^2+2x-2)-3x(x^2+2x-2)-2(x^2+2x-2)=0$

(x²+2x-2)(x²-3x-2)=0

x²+2x-2=0 и x²-3x-2=0

D1= 4+8= 12

x1= (-2+√12)/2= (-2+2√3)/2= -1+√3

x2= (-2-√12)/2= -1-√3

D2= 9+8=17

x3= (3+√17)/2

x4= (3-√17)/2