Solve the Equation by Completing the Square $$x ^ { 2 } + 6 x = 31$$

question 61

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 6 x = 31$$

• A) \(\{ - 3 - 2 \sqrt { 10 } , - 3 + 2 \sqrt { 10 } \}\)
• B) \(\{ - 3 - 2 \sqrt { 20 } , - 3 + 2 \sqrt { 20 } \}\)
• C) \(\{ 2 \sqrt { 10 } - 3,2 \sqrt { 10 } + 3 \}\)
• D) \(\{ - 2 \sqrt { 10 } , 2 \sqrt { 10 } \}\)

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Definitions:

Boolean Expressions

Logical statements that can only result in true or false, used in decision-making in programming.

Equality Operator

An operator used in programming to test if two values are equal, typically represented by '==' symbols.

Initialized

The process of assigning an initial value to a variable, data structure, or object at the time of its creation.

Empty Statement

A statement that performs no action, often used as placeholders or to satisfy syntactic requirements of a programming language.