So think about your question. You are given two extraneous pieces of information and you have no problem ignoring one but seem to have a problem ignoring the other.I neglect the temperature. I think it is not required since beta is given for that temperature
But that is just exchanging one, "Why did they include that?" question for others. Why did they include Vbe=600mV?But we can use this equation
\(I_C = I_S (e^{\frac{Vbe}{Vt}} -1) \)
Where Is = 214.447fA
And we can solve this nonlinear equation using numerical method. For example for Vt = 26mV my computer shows this solution:
Ic = 3.02283mA and Vbe = 0.607595V