Solve the Absolute Value Equation or Indicate That the Equation $$\left| 2 x ^ { 2 } - x - 1 \right| = 3$$

question 142

Multiple Choice

Solve the absolute value equation or indicate that the equation has no solution.
- $$\left| 2 x ^ { 2 } - x - 1 \right| = 3$$

• A) \(\left\{ \frac { 1 - \sqrt { 33 } } { 4 } , - \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• B) \(\left\{ - \frac { 1 - \sqrt { 33 } } { 4 } , - \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• C) \(\left\{ \frac { 1 - \sqrt { 33 } } { 4 } , \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• D) \(\varnothing\)

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Definitions:

Sensory Adaptation

Change in the sensitivity of a receptor that usually makes the receptor less sensitive to its stimulus.

Proprioception

The sense of the relative position of one's own parts of the body and strength of effort being employed in movement.

Somatic Sensing

Somatic sensing involves the perception of bodily sensations, including touch, temperature, pain, and proprioception, integral to physical experiences.

Integration

Summing up of excitatory and inhibitory signals by a neuron or by some part of the brain.