Solve the Equation by Completing the Square $$x ^ { 2 } + 2 = - x$$

question 177

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 2 = - x$$

• A) \(\left\{ \frac { 1 - \mathrm { i } \sqrt { 7 } } { 2 } , \frac { 1 + \mathrm { i } \sqrt { 7 } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 1 - i \sqrt { 7 } } { 2 } , \frac { - 1 + i \sqrt { 7 } } { 2 } \right\}\)
• C) \(\left\{ \frac { - 1 - \sqrt { 7 } } { 2 } , \frac { - 1 + \sqrt { 7 } } { 2 } \right\}\)
• D) \(\left\{ \frac { 1 - \sqrt { 7 } } { 2 } , \frac { 1 + \sqrt { 7 } } { 2 } \right\}\)

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Definitions:

Muscle Dysmorphia

Disorder in which people become obsessed with the incorrect belief that they are not muscular enough.

Anorexia

A condition involving significantly low body weight, a strong fear of weight gain, and a misperception of one's body size or shape.

Anorexia Nervosa

An eating disorder characterized by an obsession with food, body weight, and shape, leading to severe weight loss and potentially life-threatening starvation.

Psychological Problems

Issues or disorders affecting one's mental health, causing distress or impairment in social, occupational, or other important areas of functioning.