решите уравнения 1) x^4+2x^3-11x^2+4x+4=0 2) x^4-2x^3-23x^2+8x+16=0

Question

решите уравнения 1) x^4+2x^3-11x^2+4x+4=0

2) x^4-2x^3-23x^2+8x+16=0

Answer 1

1) x^4+2x^3-11x^2+4x+4=0
(x-2)*(x-1)*(x^2+5x+2)=0

 

x-2=0
x=2

x-1=0
x=1

x^2+5x+2=0

D=5^2-4*1*2=25-8=17

x1=V17/2-2.5
x2=-V17/2-2.5

 

2) x^4-2x^3-23x^2+8x+16=0

(x-1)*(x+4)*(x^2-5*x-4)=0

x-1=0

x=1

x+4=0

x=-4

x^2-5x-4=0

D=(-5)^2-4*1*(-4)=25+16=41

x1=V41/2+2.5
x2=-V41/2+2.5