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That really depends on the situation. Just as there are cases where fractional numbers make sense and others where they don't, and just as there are cases where negative numbers make sense and others where they dont, likewise, there are situations in which complex numbers (with an imaginary part) make sense, and others in which they don't. In many practical cases they don't make sense; in this case, the non-real solution is an indication that there is no practical solution. Example: Use the quadratic formula to determine at what time an object, thrown upwards, will reach a certain height. If you get a complex solution (the discriminant is negative), this means the object will NEVER reach the specified height; it will fall back down before it reaches the desired height.

In this case, the variable "time" can only have real values - imaginary values don't make physical sense. However, please note that there are also situations in which complex numbers DO make sense.

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11y ago

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