Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { 6 x } { x - 6 } - \frac { 4 } { x } = \frac { 24 } { x ^ { 2 } - 6 x }$$

question 245

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { 6 x } { x - 6 } - \frac { 4 } { x } = \frac { 24 } { x ^ { 2 } - 6 x }$$

• A) \(\left\{ \frac { 2 } { 3 } \right\}\)
• B) \(\left\{ \frac { 3 } { 2 } \right\}\)
• C) \(\left\{ \frac { 2 } { 3 } , - \frac { 2 } { 3 } \right\}\)
• D) \(\left\{ 0 , \frac { 2 } { 3 } \right\}\)

---

Definitions:

Barberini

An influential Italian noble family that gained prominence in the 17th century, closely associated with the rise of the Baroque art and architecture in Rome.

Classical Landscape

A genre of art that depicts scenes of natural landscapes inspired by the aesthetics and ideals of ancient Greece and Rome.

Annibale Carracci

A leading figure of the Italian Baroque, Carracci is celebrated for his dynamic compositions, realistic depiction of figures, and the revival of classical ideals.

Narrative

A spoken or written account of connected events; a story or a representation of a particular situation or process in such a way that it reflects or conveys a particular point or lesson.