Test Question

[Sorry!]

1. The problem statement, all variables and given/known data
Ahh just had a test and i thought i did this question correctly as it turns out though most of the other people in the class got a different value than me so i'm just wondering if someone could show me where i went wrong :D
Bascially the question is a person drops a TV from a window and then throws a converter at 20m/s down it takes the converter half the amount of time to reach the ground how high is the window

so i listed the given values for the TV with down as positive:
v1=0 v2=x a=9.8 d=? t=?
and the converter:
v1=20 v2=x a=9.8 d=? t=?

then i used the TV to find an equation for time since v1=0
d=V_{1}t\frac{at^2}{2}
then just rearrange end up with t=\sqrt{\frac{2d}{a}}

so i sub that into the converter equation get...
d=\frac{20\sqrt{\frac{2d}{a}}+1/2a\frac{2d}{a}}{2}

then i subbed my values and got something like 3/4d^2+20.7d=0 (not sure of exact values..)
d(3/4d+20.7)=0
20.7(4)/3=d
27.6=d
so you get d=0 and d=27.6 so its obviously 27.6 but other people got 33.6 or something where did i go wrong :|

[Doc Al]

then i used the TV to find an equation for time since v1=0
d=V_{1}t\frac{at^2}{2}
then just rearrange end up with t=\sqrt{\frac{2d}{a}}
Good.

so i sub that into the converter equation get...
d=\frac{20\sqrt{\frac{2d}{a}}+1/2a\frac{2d}{a}}{2}
Redo the substitution more carefully. The converter equation is:
d = v_0t + 1/2at^2

You need to substitute:
t = (\sqrt{\frac{2d}{a}})/2