Solve the Equation by Completing the Square $x ^ { 2 } + x + 9 = 0$

question 72

Multiple Choice

Solve the equation by completing the square.
- $x ^ { 2 } + x + 9 = 0$

• A) \(\frac { 1 - \sqrt { 35 } } { 2 } , \frac { 1 + \sqrt { 35 } } { 2 }\)
• B) \(\frac { 1 - \mathrm { i } \sqrt { 35 } } { 2 } , \frac { 1 + \mathrm { i } \sqrt { 35 } } { 2 }\)
• C) \(\frac { - 1 - \sqrt { 35 } } { 2 } , \frac { - 1 + \sqrt { 35 } } { 2 }\)
• D) \(\frac { - 1 - i \sqrt { 35 } } { 2 } , \frac { - 1 + i \sqrt { 35 } } { 2 }\)

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Definitions:

London Forces

Weak intermolecular forces, also known as dispersion forces, arising from instantaneous dipoles in molecules, influential in nonpolar compounds.

Sodium Chloride

Sodium chloride is a chemical compound also known as table salt, formed from the ionic bonding of sodium and chlorine atoms.

Organic Solvent

A liquid substance capable of dissolving other substances; usually organic compounds that are not water.

Hexane

A straight-chain alkane with six carbon atoms, typically used as a non-polar solvent in organic chemistry.