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Irina-Kira [14]
3 years ago
13

Factor the expression completely over the complex numbers. x^3-4x^2+4x-16

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

First you must know that is i∧2= -1

x∧3-4x∧2+4x-16 = x∧2 (x-4) + 4 (x-4) = (x-4) (x∧2+4) = (x-4) (x∧2-(-4)) =

= (x-4) (x∧2-(-1) *4) = (x-4) (x∧2- i∧2*2∧2) = (x-4) (x∧2-(2i)∧2) = (x-4) (x-2i) (x+2i)

Good luck!!!

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The solution to the system of equations using substitution is given by:

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<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the equations are given by:

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From the second equation, we have that:

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Replacing in the first equation, we have that:

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Step-by-step explanation:

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