Solve the Equation Using the Quadratic Formula $$5 = - \frac { 12 } { x } - \frac { 1 } { x ^ { 2 } }$$

question 380

Multiple Choice

Solve the equation using the quadratic formula.
- $$5 = - \frac { 12 } { x } - \frac { 1 } { x ^ { 2 } }$$

• A) \(\left\{ \frac { - 6 \pm \sqrt { 41 } } { 5 } \right\}\)
• B) \(\left\{ \frac { - 6 \pm \sqrt { 31 } } { 10 } \right\}\)
• C) \(\left\{ \frac { - 12 \pm \sqrt { 31 } } { 5 } \right\}\)
• D) \(\left\{ \frac { - 6 \pm \sqrt { 31 } } { 5 } \right\}\)

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Definitions:

Decompression

The reduction in pressure exerted on a material, often leading to changes in its physical state or phase.

Melting Mantle

The process in which the Earth's mantle, the layer between the crust and the core, experiences partial melting to form magma.

Conduction

The transfer of heat or electricity through a substance without substantial movement of the substance itself.

Minerals Crystallize

The process by which minerals form a structured, solid arrangement from a liquid or gaseous phase as they cool or evaporate.