Find the Zeros of the Quadratic Function by Completing the Square

question 195

Multiple Choice

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
- $$f ( x ) = x ^ { 2 } + \frac { 5 } { 5 } x + \frac { 2 } { 25 }$$

• A) \(x = \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }\)
• B) \(x = - \frac { 1 } { 5 } , x = \frac { 2 } { 5 }\)
• C) \(x = \frac { 1 } { 5 } , x = \frac { 2 } { 5 }\)
• D) \(x = - \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }\)

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Definitions:

Basic Anxiety

A pervasive feeling of loneliness and helplessness; the foundation of neurosis.

Neurosis

A class of functional mental disorders involving stress but not a radical loss of touch with reality, often manifesting through anxiety, depression, or obsessive behaviors.

Cardinal Trait

A personality characteristic that is so pervasive and dominant in a person's behavior that it influences nearly every act.

Safety Needs

A level in Maslow's hierarchy of needs that includes protection from elements, security, order, law, stability, and freedom from fear.