EST Find Current IDs for NMOS-PMOS Circuit

[brad sue]

HI,
The teacher gave us an hint about a problem that might appear on an exam.
I was not able to solve it and I need some assistance pleas.
Find the current ids for the following circuit:
see attachment.

I have simulated the circuit with Pspice and I get the following values ids= 2.75[mA]
and Vout=4.32[V]

the paramter for the transistors were:
NMOS Kp=500 [uA/V^2]and Vto=1[V]

PMOS Kp=500 [uA/V^2] Vto=-1[V]

I tried the saturation formula but I did not find the values.

I also tried to use the load lines for the transistors but I had trouble graphing the load line for the NMOS (bottom transistor).
Please can someone help me please?
Thank you
B

 

[DaveE]

You have two unknown variables in this problem I_DS and V_O. You can also make two equations, one for each MOSFET. Like I_DS = K_P⋅(V_GS - V_TO). Find V_GS in terms of the circuit voltages. Of course I_DS will be the same for both transistors since there's no load.

You can start with the assumption that both devices are operating in their linear region, but then verify that is true after you get a solution.