solve failure

[parisse]

If an input has one approx data, like 3.0, then approx will infect all the input (like a virus). pi will be converted to 3.14.. etc.
The first solver step finds the roots, but there is an additional numerical check in the exact solver code to make sure a wrong root is not returned with a tolerance for approx computations errors. Multiplying the equation by a large number will make this test fail and the root is discarded. The rule is it's better to miss some solutions than return too many solutions.