Question

conjugate of complex number z=1/3-4i

Answer 1

to find conjugate of z=1/3-4i
multiply and divide by 3+4i
=3+4i/(3+4i)(3-4i)
=3+4i/9-16i^2
=3+4i/(9+16)
=3+4i/25
=0.12 + 0.16i

Answer 2

Answer:

$z=0.12-0.16i$

Step-by-step explanation:

Given : Complex number $z=\frac{1}{3-4i}$

To find : The conjugate of the complex number?

Solution :

$z=\frac{1}{3-4i}$

Rationalize the number by multiplying and dividing by  3+4i

$z=\frac{3+4i}{(3+4i)(3-4i)}$

$z=\frac{3+4i}{9-16i^2}$

$z=\frac{3+4i}{9+16}$

$z=\frac{3+4i}{25}$

$z=0.12+0.16i$

The conjugate of the z is $z=0.12-0.16i$