Solve the Equation by Completing the Square $$\frac { x ^ { 2 } } { 2 } + \frac { 1 } { 2 } x = 8$$

question 67

Multiple Choice

Solve the equation by completing the square. Express any complex numbers using i notation.
- $$\frac { x ^ { 2 } } { 2 } + \frac { 1 } { 2 } x = 8$$

• A) \(\frac { - 1 \pm \sqrt { 65 } } { 4 }\)
• B) \(\frac { 1 \pm \sqrt { 65 } } { 2 }\)
• C) \(\frac { - 1 \pm \sqrt { 65 } } { 2 }\)
• D) \(\frac { 1 \pm \sqrt { 65 } } { 4 }\)