Answer :

Final answer:

The equation z²+94=94 simplifies to z² = 0, and therefore, it has two identical real number solutions, both of which are zero.

Explanation:

The equation given, z²+94=94, is a mathematical expression in the algebra domain, specifically an example of a quadratic equation. Evaluating this equation, we would subtract 94 from each side to set the equation to zero: z^(2) = 0. In this case, it may look like only one solution exists because the result is zero. However, by the nature of quadratic equations, which are defined as polynomials of the second degree, even this equation actually has two solutions. That is because we can solve it by factoring or by using the square root property, with each giving a solution of zero (0^2 = 0).

It is also important to note that in some mathematical or real-world contexts, although an equation may technically have two solutions, only one might be meaningful or reasonable - like the example given about 10.0 seconds being a reasonable time for a typical freeway on-ramp. This principle doesn't apply to this equation as both solutions are zero and are therefore equally meaningful.

So, to answer your question, the type of solutions this equation has is real and identical, specifically, both solutions are zero.

Learn more about Quadratic Equations here:

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