Analyzing circuit with Silicon and Zener diode

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Homework Statement



Determine Vout, the current flowing through R and power power dissipated the Zener diode.

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Homework Equations



Circuit analyzing techniques.

The Attempt at a Solution



I've done this problem by assuming each diode is off while ignoring the other.

E.g. Applying KVL: -24+VD=0 --> VD=24 (Silicon diode is on and will be replaced with 0.7V voltage source).
Applying KVL again: -24-VDZ --> VDZ=-24 (Zener diode is reverse biased and will be replaced with VZT, which 12V voltage source).

Is this approach correct?
 
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rude man said:
Not a good idea. Why do you assume the diodes are off? They're not.
Poster is closely following a generalized technique he has been taught. Assume one "state" and prove or disprove it is true. With experience, will be able to short-circuit his procedures.