Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } - 12 x - 5 = 0$$

question 323

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.
- $$x ^ { 2 } - 12 x - 5 = 0$$

• A) \(\{ 6 - \sqrt { 41 } , 6 + \sqrt { 41 } \}\)
• B) \(\{ 6 - \sqrt { 5 } , 6 + \sqrt { 5 } \}\)
• C) \(\{ - 6 - \sqrt { 41 } , - 6 + \sqrt { 41 } \}\)
• D) \(\{ 12 - \sqrt { 149 } , 12 + \sqrt { 149 } \}\)

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Definitions:

Random Variable

A variable whose values depend on outcomes of a random phenomenon.

Bernoulli Distribution

A probability distribution that takes two possible outcomes, 1 (success) with probability p, and 0 (failure) with probability 1-p.

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Probability Density Function

A function that describes the relative likelihood for a continuous random variable to take on a given value.