Solve the Equation by Completing the Square $$8 x ^ { 2 } - 5 x + 1 = 0$$

question 133

Multiple Choice

Solve the equation by completing the square.
- $$8 x ^ { 2 } - 5 x + 1 = 0$$

• A) \(\left\{ \frac { - 5 \pm i \sqrt { 7 } } { 16 } \right\}\)
• B) \(\left\{ \frac { 5 \pm \sqrt { 7 } } { 16 } \right\}\)
• C) \(\left\{ \frac { 5 - i \sqrt { 7 } } { 16 } , \frac { - 5 + i \sqrt { 7 } } { 16 } \right\}\)
• D) \(\left\{ \frac { 5 \pm i \sqrt { 7 } } { 16 } \right\}\)

---

Definitions:

Collective Unconscious

A concept theorized by Carl Jung, referring to the part of the unconscious mind that is derived from ancestral memory and experience and is common to all humankind.

Personal Unconscious

A term used in Jungian psychology to describe the portion of an individual's unconscious mind that is unique to them and consists of forgotten or suppressed memories and personal experiences.

Carl Jung

A psychiatrist and psychoanalyst known for founding analytical psychology and developing concepts such as the collective unconscious and archetypes.

Latency

The time delay between the initiation and the effect of a process or stimulus.