Can any one help me solve this chemistry problem?

Question

In the reaction below, 8.97 atm each of Cl2 and I2 were placed into a 1.00 L flask and allowed to react:

Cl2(g) + I2(g) <=> 2 ICl(g)

Given that Kc = 53.2, calculate the equilibrium pressure of Cl2

Answer 1

Let &quot;x&quot; be the pressure loss due to rxn of either Cl2 or I2.  

Then,  (2x)^2/(8.97-x)^2  = 53.2

x is about 7 atm, so desired pressure is about 1.97 atm.