Solve the Equation by Completing the Square $$x ^ { 2 } + 8 x = 7$$

question 46

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 8 x = 7$$

• A) \(\{ - 4 - \sqrt { 11.5 } , - 4 + \sqrt { 11.5 } \}\)
• B) \(\{ 4 + \sqrt { 11.5 } \}\)
• C) \(\{ - 4 - 1 \sqrt { 11.5 } , - 4 + 1 \sqrt { 11.5 } \}\)
• D) \(\{ - 1 - \sqrt { 11.5 } , - 1 + \sqrt { 11.5 } \}\)

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Definitions:

Trapezius

A large, triangular muscle extending over the back of the neck and shoulders, involved in moving, rotating, and stabilizing the scapula (shoulder blade) and extending the neck.

Pronator Teres

A muscle in the forearm that helps rotate the forearm into a palm-down position.

Brachialis

A muscle located in the upper arm that is involved in flexing the elbow joint.

Supinator

A muscle located in the forearm that rotates the forearm and hand outward, allowing the palm to face upwards.