Find the non-zero value of c for which there is exactly one positive value of b for which there is one solution to the equation x^2 + (b + 4/b) *x + c = 0
If there is one value, the discriminant sqrt(b^2 -4ac) = 0.
try solving for that
=^._.^=
By inspection .....note that if b = 2 and c = 4 we have
x^2 + ( 2 + 4/2) x + 4 = 0
x^2 + 4x + 4 = 0
(x + 2) ^2 = 0
So.....the one root = -2