Question 949589
The value for a is correct, and you can use b as an unknown variable.  Use the given point on the hyperbola, (4,4), to help find the value  (solve) the value of b.  



{{{x^2/(2sqrt(3))^2-y^2/b^2=1}}}


{{{4^2/(2sqrt(3))^2-4^2/b^2=1}}}


Now, what is b?