Find All Solutions of the Equation $$x ^ { 2 } + 1 - \sqrt { 3 } i = 0$$

question 34

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- $$x ^ { 2 } + 1 - \sqrt { 3 } i = 0$$

• A) \(\left\{ \sqrt { 2 } \operatorname { cis } 60 ^ { \circ } , \sqrt { 2 } \operatorname { cis } 240 ^ { \circ } \right\}\)
• B) \(\left\{ 2 \operatorname { cis } 90 ^ { \circ } , 2 \operatorname { cis } 270 ^ { \circ } \right\}\)
• C) \(\left\{ 2 \sqrt { 2 } \operatorname { cis } 90 ^ { \circ } , - 2 \sqrt { 2 } \operatorname { cis } 270 ^ { \circ } \right\}\)
• D) \(\left\{ 2 \operatorname { cis } 45 ^ { \circ } , 2 \operatorname { cis } 225 ^ { \circ } \right\}\)

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Definitions:

Variable Costs

Costs that change in proportion to the level of activity or volume of goods produced.

Straight-Line Depreciation

An approach to apportion the cost of a tangible asset throughout its operational life in equal yearly sums.

Net Present Value

A financial calculation used to determine the value of a series of future cash flows by discounting them back to their value in today's dollars.

Required Rate Of Return

The minimum annual percentage earned by an investment that will induce individuals or companies to put their money into a particular security or project.