Problem with 2nd order polynomial

[ktomp]

Hello everyone,

I got an exam the other day and to my surprise my HP prime (G1 hardware) failed to solve a 2nd order polynomial (a*x^2+b*x+c = 0) with the following coefficients:
a = 30188156.0038281

b = -12497373621.6526

c = 1058636761186.350

I was in CAS mode and tried using the Solve, Zeros, Numerical Solve but only got empty brackets as a result (like []). Same thing happens even with the latest update of 2024/09.

It's probably due to the fact that the coeffecients of the polynomial where quite large numbers, cause when I divided everything with the "a" coefficient and the polynomial became x^2+(b/a)*x+(c/a) all the functions managed to find the roots correctly.

Could this be a bug?

Many thanks for your help