Solve the Equation by Completing the Square $$3 z ^ { 2 } = \frac { 3 } { 2 } z + 2$$

question 160

Multiple Choice

Solve the equation by completing the square.
- $$3 z ^ { 2 } = \frac { 3 } { 2 } z + 2$$

• A) \[\frac { - 3 \pm \sqrt { 105 } } { 12 }\]
• B) \[\frac { 3 \pm \sqrt { 105 } } { 12 }\]
• C) \[\frac { 3 \pm \sqrt { 105 } } { 6 }\]
• D) \[\frac { - 3 \pm \sqrt { 57 } } { 6 }\]

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