x=(-5.15-5.89i)+(30/(-5.15-5.89i))

i is the square root of (-1)
the answer sholud equal 10.3
x=10.3
but could you show me how , i am having problem to figure it out.
thank you.

since you're adding (not multiplying), you'd have to find the common denominator! when you do this, you multiply both the numerator and denominator with the same number.

(-5.15-5.89i)[(-5.15-5.89i)/(-5.15-5.89i)] + (30/(-5.15-5.89i))

=[(-5.15-5.89i)(-5.15-5.89i)+ 30]/ [-5.15-5.89i]

[(-5.15)(-5.15)+(-5.15)(-5.89i)+(-5.15)(-5.89i)+(-5.89i)(-5.89i)+30]/[-5.15-5.89i]

now simplify. like I said before, every time you see a i^2, replace that with -1!