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You don't need a flow chart for that; just use the quadratic formula directly; most programming languages have a square root function or method. You would only need to do this in many small steps if you use Assembly programming. The formulae would be something like this:

x1 = (-b + sqrt(b^2 - 4*a*c)) / (2 * a)

and

x2 = (-b - sqrt(b^2 - 4*a*c)) / (2 * a)

where a, b, and c are the coefficients of the quadratic equation in standard form, and x1 and x2 are the solutions you want.

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