Solve the Equation by Completing the Square $$3 x ^ { 2 } + 12 x + 3 = 2$$

question 109

Multiple Choice

Solve the equation by completing the square. Express any complex numbers using i notation.
- $$3 x ^ { 2 } + 12 x + 3 = 2$$

• A) \( x=\frac{-6 \pm \sqrt{39}}{3}\)
• B) \(x = \frac { - 6 \pm \sqrt { 33 } } { 3 }\)
• C) \(x = \frac { - 6 \pm \sqrt { 33 } } { 6 }\)
• D) \(x = \frac { - 12 \pm \sqrt { 33 } } { 3 }\)

Understand the concept and process of scenario analysis.

Comprehend the usefulness and application of simulation analysis in project evaluation.

Understand the basic concepts and definitions of linear programming, including constraints, objective function, and feasible region.

Formulate linear programming (LP) constraints from worded problems.

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Definitions:

Cell Functions

The various processes and activities that occur within a cell to maintain its life, including energy production, metabolism, replication, and response to external signals.

Nuclear Equivalence

The concept that all nuclei in a multicellular organism's cells contain the same genetic information, although different genes may be active in different cells.

Genetic Information

The hereditary material in living organisms, encoded in DNA or RNA sequences.

Nuclear Changes

Alterations within the nucleus of a cell, including changes in chromosome number or structure, often associated with diseases.