Question

the solution to a problem involving a complex number is -4+32i which of the following expressions could be the problem?

Answer 1

`\begin{gathered} -\sqrt[]{16}+(\sqrt[]{-64}\cdot4) \\ -4+(\sqrt[]{64}\cdot\sqrt[]{-1}\cdot4) \\ -4+(8i\cdot4) \\ -4+32i \end{gathered}`
`\begin{gathered} (-6+44i)-(2-12i) \\ (-6-2)+(44i-(-12i)) \\ -8+56i \end{gathered}`
`\begin{gathered} i(4i+32) \\ i\cdot4i+i\cdot32 \\ 4i^2+32i \\ 4\cdot(-1)+32i \\ -4+32i \end{gathered}`
`\begin{gathered} (-2-4i)(-6-4i) \\ (-2)\cdot(-6)+(-2)\cdot(-4i)+(-4i)\cdot(-6)+(-4i)\cdot(-4i) \\ 12+8i+24i+16i^2 \\ 12+32i+16(-1) \\ 12-16+32i \\ -4+32i \end{gathered}`
`\begin{gathered} (-2+16i)^2 \\ (-2)^2+2\cdot(-2)\cdot16i+(16i)^2 \\ 4-64i+16^2\cdot i^2 \\ 4-64i+256\cdot(-1) \\ 4-256+64i \\ -252+64i \end{gathered}`

The problems which solution is -4+32i are options B, C, and E