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Evaluate the algebraic expression. If your result is a complex number type it in the form a+bi and do not type any spaces between the characters.If y=x^3-2, evaluate y given x=i.y=Answer

Evaluate the algebraic expression If your result is a complex number type it in the form abi and do not type any spaces between the charactersIf yx32 evaluate y class=

Respuesta :

[tex]y=x^3-2[/tex]

For x = i

where:

[tex]\begin{gathered} i=\sqrt[]{-1} \\ \end{gathered}[/tex]

so:

[tex]\begin{gathered} y=i^3-2 \\ y=(\sqrt[]{-1})^3-2 \\ y=(\sqrt[]{-1})^2(\sqrt[]{-1})-2 \\ y=-1(\sqrt[]{-1})-2 \\ y=-i-2 \\ so\colon \\ y=-2-i \end{gathered}[/tex]

Answer:

-2-i

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