why does calculators consider the negative value of the square root as an imaginary part?

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when I was asked by a friend to solve this problem 0.5x = sqrt(4-3x) + 2 I got the answers -4 and 0, but when he plugged them in he said that my values were incorrect, and that's true if he took the positive values of the root function, but if he considered the root to equal a negative value which some people and calculators call imaginary part my values would be correct.

So why does wolfram alpha and other calculators show no solution for this question although typing sqrt(4) into WolframAlpha shows 2 and -2.