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How do I find the intersection of more than two polynomial curves?

I have four polynomial (degree 2) functions and I need to find the intersection of these functions. but I do not know is any way to find all intersections in one step. my suggestion is to equalize two functions and find their roots using numpy.roots. but I am not sure if is it true or not. what should I do to find the intersections? my functions are:

y = 1.51250 * x + -0.07969 * x^2 + 18.96116
y = 1.54264 * x + -0.05879 * x^2 + 17.47277
y = 1.49669 * x + -0.04627 * x^2 + 17.69008
y = 1.72147 * x + 0.00052 * x^2 + 18.21067


source https://stackoverflow.com/questions/74437466/how-do-i-find-the-intersection-of-more-than-two-polynomial-curves
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