Replacing x and y with x+100 and y+100 respectively makes it miss one root, and when translating by numbers greater than 1000, WolframAlpha can only find a single solution. You can plot them with ListPlot for instance. at 17:43 2 I did a little investigation, and turns out that yes, WolframAlpha uses heuristics. These days (early 2023) there are other ways to convert a number string to a number. This gives you the points nearest to origin which are solutions to your problem. The intrinsic function ToExpression will convert its argument to an expression if the argument is the string representation of a number the function will return the number. Get the definition of the solution from Solve, renaming C as n for convenience, andĮxplaining to Mathematica that n should be considered an integer. Solve gives you the parametric solution representing the infinite number of solutions.Ī way to have a list of small modulus solutions of your system is to do the following For example, 1 is an integer literal, while 1.0 is a floating-point. As others have pointed out, there is not one solution, but in fact a 1-parameter set of solutions (more precisely all the solutions are integer points on a line in (b,d) space). Average annual number of systemwide combined sewer overflow events: 70.
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