Take the polynomial $x^2+(-4*10^3)x+2$.
In the floating-point system with $b=10$, $m=4$, $e=4$, if I wanted to find the roots using the quadratic formula what would be the values of the roots?
I got 3.999 as one of my roots and 1.000 as the other but my 1.000 root does not make sense in terms of relative error (I get a huge number).
Could anyone help me with this by going through the steps?