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

question 113

Multiple Choice

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

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

---

Definitions:

GDP Deflator

The GDP deflator is an economic metric that converts output measured at current prices into constant-dollar GDP, reflecting changes in the price level of all domestically produced goods and services in an economy.

Real GDP

The measure of a country's economic output adjusted for price changes and inflation, providing a more accurate reflection of an economy's size.

Per Capita GDP

The average economic output per person, calculated by dividing the country's Gross Domestic Product by its total population.

Population

The overall population within a designated region or nation.