Find all zeros (both real and complex) for the function

Ответ:

gamerhunter425

31.12.2021

$f(x)=x^3-5x^2+4x+10\\
f(x)=x^3+x^2-6x^2-6x+10x+10\\
f(x)=x^2(x+1)-6x(x+1)+10(x+1)\\
f(x)=(x+1)(x^2-6x+10)\\\\
x+1=0\\
x=-1\\\\
x^2-6x+10=0\\
x^2-6x+9+1=0\\
(x-3)^2=-1\\
x-3=i \vee x-3=-i\\
x=3+i \vee x=3-i\\\\
x=\{-1,3-i,3+i\}$

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Ответ:

twocutebabe26

09.11.2020

Mathematics

5232242435622222222222222221923728732321

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Find all zeros (both real and complex) for the function f(x)=x^3-5x^2+4x+10

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