Determine the Constant That Should Be Added to the Binomial $5 x ^ { 2 } - 2 x - 4 = 0$

question 165

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $5 x ^ { 2 } - 2 x - 4 = 0$

• A) \(\left\{ \frac { 1 - \sqrt { 21 } } { 5 } , \frac { 1 + \sqrt { 21 } } { 5 } \right\}\)
• B) \(\left\{ \frac { 5 - \sqrt { 21 } } { 25 } , \frac { 5 + \sqrt { 21 } } { 25 } \right\}\)
• C) \(\left\{ - 4 , \frac { 22 } { 5 } \right\}\)
• D) \(\left\{ \frac { - 1 - \sqrt { 21 } } { 5 } , \frac { - 1 + \sqrt { 21 } } { 5 } \right\}\)

---

Definitions:

Violent Cartoons

Animated programming that includes acts of aggression or physical harm towards characters, often a subject of debate regarding its influence on children.

Psychological Reactance

A reaction to regain freedom or control when one feels it is being threatened or reduced, often leading to resistance or doing the opposite of what is being sought.

Empathy

The ability to understand and share the feelings of another, often leading to a deeper connection and emotional support.

Cognitive Dissonance Theory

A psychological theory suggesting that individuals experience discomfort when holding two or more contradictory beliefs, attitudes, or values, leading them to attempt to reduce the dissonance.