Evaluate the Discriminant for the Equation $6 + 4 z ^ { 2 } = - 8 z$

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
- $6 + 4 z ^ { 2 } = - 8 z$

A) Two distinct nonreal complex solutions
B) Two distinct rational solutions
C) One rational solution (a double solution)
D) Two distinct irrational solutions

Correct Answer:

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