Final answer:
Without the specific equation for z, it's not possible to determine whether the solutions are non-existent, real, positive, or negative. Quadratic equations can have different types of solutions depending on their discriminant, but for physical problems, often only positive solutions are meaningful.
Correct option is not given.
Step-by-step explanation:
To solve for z, we need the actual equation involving z.
However, based on the question, we can discuss the general nature of solutions for quadratic equations, which are often encountered in high school maths, especially in the context of Two-Dimensional (x-y) Graphing.
Quadratic equations, which have the form ax2 + bx + c = 0, can have either two real solutions, one real solution, or no real solutions depending upon the discriminant (b2 - 4ac).
If the discriminant is positive, there are two real solutions, which can be either positive, negative, or one of each. If the discriminant is zero, there is exactly one real solution.
If the discriminant is negative, there are no real solutions, which implies the solutions are complex numbers. When dealing with physical problems, often only the positive solution is of significance.
Without the specific equation, we cannot definitively state which of the options (A, B, C, D) for the solutions for z is correct.
It is crucial to analyze the equation itself to determine which values of z are real and applicable to the context of the problem.
Correct option is not given.