Question

The expression 1/5-2i written in a+bi form is 5/29 + 2/29i.

Please select the best answer from the choices provided


A. True

B. False

ANSWER IS A. True

Answer 1

True

Explanation:

Answer 2

=
`(5)/(29) +(2i)/(29)` is True

Explanation:

`(1)/(5-2i )`

=
`(1)/(5-2i )`×
`(5+2i )/(5+2i )` ∴ Multiply and divide with conjugate of 5-2i.

=
`(5+2i )/((5-2i )(5+2i ))`

=
`(5+2i )/((5^(2) )-(2i^(2) ))`

=
`(5+2i )/((5^(2) )-(2i^(2) ))`

=
`(5+2i )/(( 25 )-(-4 ))`

=
`(5+2i )/(25 +4 )`

=
`(5+2i )/(29 )`

=
`(5)/(29) +(2i)/(29)`