trig
posted by jessica .
use the discriminant to solve for the smallest value of b that would make the roots of the equation x^2+bx+5=o imaginary

is this algebra or prealgebra

to have imaginary roots
b^2  4ac < 0
b^2  4(1)(5) <0
b^ < 20
± b < √20
b < √20 AND b > √20
so √20 < b < √20
It would be that number "just to the right" of √20
but of course we cannot name that number.
If you think you have found it, I can find a number which is closer to it.
Poorly worded question!