MattoxV27563 MattoxV27563

03-11-2022
Mathematics

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List all zeros for the function f(x) = x^4 - 81. Be sure to include real and complex zeros.

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KarleighX95116 KarleighX95116

03-11-2022

The roots can be found as,

[tex]\begin{gathered} x^4-81=0 \\ (x^2+9)(x^2-9)=0 \\ (x^2+9)(x+3)(x-3)=0 \\ x=\pm3i,3\&-3 \end{gathered}[/tex]

Thus, the roots of the equations are 3i,-3i,3 and -3.

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