Solve the Equation by Completing the Square $$\frac { x ^ { 2 } } { 16 } + x + \frac { 21 } { 8 } = 0$$

question 174

Multiple Choice

Solve the equation by completing the square.
- $$\frac { x ^ { 2 } } { 16 } + x + \frac { 21 } { 8 } = 0$$

• A) \[8 + \sqrt { 22 }\]
• B) \[- 16 \pm \sqrt { 42 }\]
• C) \[- 8 \pm \sqrt { 22 }\]
• D) \[8 - \sqrt { 42 } , 8 + \sqrt { 42 }\]

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Definitions:

Rust

A type of fungal disease that affects plants, causing reddish-brown spots, or the oxidation of iron and its alloys resulting in reddish-brown flaking coatings.

Iron

A chemical element with symbol Fe, important in biological processes and industrial applications.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the principal constituent of Earth's hydrosphere and the fluids of most living organisms.

Van Der Waal Interactions

Weak attractions between molecules or parts of molecules that result from transient local partial charges.