Solve the Quadratic Equation and Express All Nonreal Complex Solutions $$x ^ { 2 } + 80 = 0$$

question 9

Multiple Choice

Solve the quadratic equation and express all nonreal complex solutions in terms of i.
- $$x ^ { 2 } + 80 = 0$$

• A) \(\{ \pm 20 \mathrm { i } \}\)
• B) \(\{ \pm \mathrm { i } \sqrt { 20 } \}\)
• C) \(\{ \pm 4 \mathrm { i } \}\)
• D) \(\{ \pm 4 \mathrm { i } \sqrt { 5 } \}\)

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Definitions:

Major Structure

The most stable or predominant arrangement of atoms in a molecule or the most significant resonance form of a compound when multiple structures are possible.

N-butanol

A four-carbon linear alcohol with the formula C4H9OH, used as a solvent and in the synthesis of various organic compounds.

Hydrochloric Acid

A strong, corrosive acid consisting of hydrogen and chlorine (HCl), widely used in industry and research for various applications, including metal cleaning and pH adjustment.

Lucas Reagent

A chemical reagent used to classify alcohols of low molecular weight based on their reactivity, comprising zinc chloride in concentrated hydrochloric acid.