Question

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

Answer 1

`y=x^3-2`

For x = i

where:

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

so:

`\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}`

Answer:

-2-i