inequalities!

[input](x-3)^4+ 30=0[/input]
no real solutions.


[input](x-3)^4-30= 0[/input]
two real solutions.

(x-3)^4-30= 0
(x-3)^4-30+30= 0+30
(x-3)^4= 30
sqrt4((x-3)^4)= sqrt(30)
(x-3) = sqrt4(30) and (x-3) = -sqrt(30)
x = sqrt4(30)+3 and x = -sqrt(30) + 3