Question

Solve for i3-2i+8=23

Answer 1

Given the following equation:

`3-2i+8=23`

You need to solve for "i" in order to find its value. In order to do it, you can follow the steps shown below:

1. You can apply the Subtraction property of equality by subtracting 3 and 8 from both sides of the equation. Then, you get:

`\begin{gathered} 3-2i+8-(3)-(8)=23-(3)-(8) \\ -2i=12 \end{gathered}`

2. Finally, you can apply the Division property of equality by dividing both sides of the equation by -2.

It is important to remember the Sign rules for Division:

`\begin{gathered} (+)/(+)=+ \\ \\ ((-))/((-))=+ \\ \\ (+)/((-))=- \\ \\ ((-))/(+)=- \end{gathered}`

Therefore, you get:

`\begin{gathered} (-2i)/(-2)=(12)/(-2) \\ \\ i=-6 \end{gathered}`

The answer is:

`i=-6`