решите уравнения 1) x^4+2x^3-11x^2+4x+4=0
2) x^4-2x^3-23x^2+8x+16=0
1) x^4+2x^3-11x^2+4x+4=0(x-2)*(x-1)*(x^2+5x+2)=0
x-2=0x=2x-1=0x=1x^2+5x+2=0
D=5^2-4*1*2=25-8=17
x1=V17/2-2.5x2=-V17/2-2.5
(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+2.5x2=-V41/2+2.5
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Answers & Comments
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