Answer:
Other root is -95i
Step-by-step explanation:
Here, Nature of roots of f(x) is imaginary roots.
Therefore, Roots are conjugate of each other.
Conjugate of x + yi is x - yi.
we get conjugate of 95i as -95i
Verification shows....
(x-95)(x+95i)=0
[tex] {x }^{2} - {95}^{2} {i}^{2} = 0 \\ {x }^{2} + {95}^{2} = 0 \\ {x }^{2} + 9025= 0 \\ f(x) = 0[/tex]
this, roots are -95i and 95i