Solve the Equation by Completing the Square $16 a ^ { 2 } + 1 = 3 a$

question 206

Multiple Choice

Solve the equation by completing the square.
- $16 a ^ { 2 } + 1 = 3 a$

• A) \(\frac { - 3 - i \sqrt { 55 } } { 32 } , \frac { 3 + i \sqrt { 55 } } { 32 }\)
• B) \(\frac { - 3 - i \sqrt { 55 } } { 32 } , \frac { - 3 + i \sqrt { 55 } } { 32 }\)
• C) \(\frac { 3 - i \sqrt { 55 } } { 32 } , \frac { 3 + i \sqrt { 55 } } { 32 }\)
• D) \(\frac { 3 - i \sqrt { 55 } } { 32 } , \frac { - 3 + i \sqrt { 55 } } { 32 }\)

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Definitions:

Rotor Bars

Metal bars placed in the rotor of an induction motor that conduct current and interact with the magnetic field to create rotation.

Power Factor

A measure of how effectively electrical power is converted into useful work output, with a range from 0 to 1.

Reactance

The opposition that inductors and capacitors present to the flow of alternating current, characterized by its effect on the phase of the current.

Resistance

A material's opposition to the flow of electric current, measured in ohms.