Answer
only one rational root.
Work Step by Step
For the equation $9x^2+30+25=0$, we have
$$a= 9, \quad b=30, \quad c=25$$
We check the value of the discriminant, as follows $$b^2 -4ac=30^2-4(9)(25)=0$$
Since we get $0$, there is only one rational root.