Let x # y = x^2/y for all x and y such that y≠0. Find all values of a such that a # 3 = 9. List the values you find in increasing order,

x # y  =  x² / y

     --->     a # 3  =  a² / 3

 

If  a # 3  =  9     --->     a² / 3  =  9     --->      a²  =  27     --->     a = 3·sqrt(3)     or     a = - 3·sqrt(3)