Question

Simplify 2i/-4 + 3i please

Answer 1

`(6)/(25)` -
`(8)/(25)` i

Explanation:

Assuming you mean

`(2i)/(-4+3i)`

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

=
`(2i(-4-3i))/((-4+3i)(-4-3i))` ← expand numerator and denominator

=
`(-8i-6i^2)/(16-9i^2)` [ note that i² = - 1 ]

=
`(-8i+6)/(16+9)`

=
`(6-8i)/(25)`

=
`(6)/(25)` -
`(8)/(25)` i ← in standard form

Answer 2

2i

−4

+3i

=

5

2

i

Explanation:

i think it helps