Make an Appropriate Substitution and Solve the Equation $$- \frac { 5 } { a ^ { 2 } } + \frac { 6 } { a } + 1 = 0$$

question 168

Multiple Choice

Make an appropriate substitution and solve the equation.
- $$- \frac { 5 } { a ^ { 2 } } + \frac { 6 } { a } + 1 = 0$$

• A) \(\{ - 3 + \sqrt { 14 } , - 3 - \sqrt { 14 } \}\)
• B) \(\left\{ \frac { - 3 + \sqrt { 14 } } { 5 } , \frac { - 3 - \sqrt { 14 } } { 5 } \right\}\)
• C) \(\{ 3 + \sqrt { 14 } , 3 - \sqrt { 14 } \}\)
• D) \(\left\{ \frac { 3 + \sqrt { 14 } } { 5 } , \frac { 3 - \sqrt { 14 } } { 5 } \right\}\)

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Definitions:

Excitatory

Referring to something that increases the likelihood of a nerve impulse in the neuron, often through neurotransmitters that promote action potentials.

Inhibitory

Characterized by or acting to restrain, hinder, or suppress physiological or psychological action.

Electrical

Pertaining to the technology of electricity; relating to, producing, or operated by electric currents or fields.

Axon

The long, slender projection of a nerve cell, or neuron, that typically conducts electrical impulses away from the neuron's cell body.