solving a root equation

I am trying to solve this equation (y=0) to find x, but apperantly this technique can not be used for such equation:

y=100-sqrt(x)*2+x^3/20+x^(1/4)
solve(y,x)

could you please help me how to solve this equation to find x

thanks in advance.

Answer 1

[Matt J]

There don't appear to be any non-complex solutions

x=roots([1/20 zeros(1,8) -2 0 -1 100]).^4

ans = 
   6.1819 -11.5237i
   6.1819 +11.5237i
 -12.2614 + 0.4589i
 -12.2614 - 0.4589i
   5.8298 +10.7456i
   5.8298 -10.7456i
   6.7620 -11.0777i
   6.7620 +11.0777i
 -12.9440 + 0.4471i
 -12.9440 - 0.4471i
   6.4316 +10.2856i
   6.4316 -10.2856i