write the following question in the form " a+bi " - i / 2-5i

Question

i am having difficulty finding the answer with this.......

Answer 1

-i/(2-5i)

= -i/(2-5i)[(2+5i)/(2+5i)]   {Multiplying both numerator and denominator by the complex conjugate of 2-5i}

= -i(2+5i)/[(2-5i)/(2+5i)]

= (5-2i)/29

=(5/29) - (2/29)i