Question

considerando Z1 = 4 +3i e Z2 = 2 -5i Determine :
A)(Z1) elevado a 2
B) Z2/Z1
Mandem calculo por favor

Answer 1

A)

$(4+3i)^{2} = (4+3i).(4+3i) = 4.4 + 4.3i +3i.4+3i.3i = \\ = 16 + 12i + 12i + 9i^{2} = 16 + 24i -9 = 7 + 24i$

Resposta: 7 + 24i

B)

$\frac{2-5i}{4+3i} = \frac{2-5i}{4+3i} .\frac{4-3i}{4-3i} =\frac{(2-5i)(4-3i)}{(4+3i)(4-3i)} = \frac{2.4-2.3i-5i.4+5i.3i}{4^{2}+3^{2}} = \frac{8-6i-20i+15i^{2}}{25} =\\ = \frac{8 -26i - 15}{25} = \frac{-7-26i}{25}$

Então:

Resposta: -7/25 -26i/25