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erneogon
@erneogon
July 2022
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Помогите решить уравнение!!!
x^3 - 6x^2 + 32 = 0
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197119711971
x^3+6x^2-32=0
x^3-2x^2+8x^2-32=0
x^2(x-2)+8(x^2-4)=0
x^2(x-2)+8(x-2)(x+2)=0
(x-2) (x^2 +8(x+2))=0
(x-2) (x^2 +8x +16)=0
(x-2) (x^2 +2*4*x +4^2)=0
(x-2) (x+4)^2 = 0
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Answers & Comments
x^3-2x^2+8x^2-32=0
x^2(x-2)+8(x^2-4)=0
x^2(x-2)+8(x-2)(x+2)=0
(x-2) (x^2 +8(x+2))=0
(x-2) (x^2 +8x +16)=0
(x-2) (x^2 +2*4*x +4^2)=0
(x-2) (x+4)^2 = 0