Determine All Real Values of X for Which the Function $7 x ^ { 2 } - 13 x + 1$

question 112

Multiple Choice

Determine all real values of x for which the function $7 x ^ { 2 } - 13 x + 1$ has the value 3.

• A) \(- \frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 14 }\)
• B) \(\frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 14 }\)
• C) \(\frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 7 }\)
• D) \(\frac { 13 } { 7 } \pm \frac { \sqrt { 57 } } { 14 }\)
• E) \(- \frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 7 }\)

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Definitions:

Somatic Nervous System

The somatic nervous system is part of the peripheral nervous system responsible for carrying motor and sensory information both to and from the central nervous system.

Interneurons

Neurons located in the central nervous system that transmit impulses between sensory and motor neurons.

Peripheral Nervous System

The part of the nervous system that consists of the nerves and ganglia outside of the brain and spinal cord, involved in transmitting sensory information and motor signals.

Autonomic Nervous System

The part of the nervous system that controls involuntary bodily functions, such as heartbeat, digestion, and breathing.