Question

Identifique os números reais m e n em Z = (m/2 – 1) + (n – 3/2)i, sabendo que W = (– 5/8 – i/2) e Z é igual o conjugado do W. a) m = 2/3 e n = 1/3 b) m = 3/4 e n = 2 c) m = 1/4 e n = 4 d) m = – 3/2 e n = – 2

Answer 1

Resposta:

$\text{letra B}$

Explicação passo-a-passo:

$z = (\dfrac{m}{2} - 1) + (n - \dfrac{3}{2})i$

$w = -\dfrac{5}{8} - \dfrac{1}{2}.i$

$n - \dfrac{3}{2} = \dfrac{1}{2}$

$n = \dfrac{1}{2} + \dfrac{3}{2} = \dfrac{4}{2}$

$\boxed{\boxed{n = 2}}$

$\dfrac{m}{2} - 1= -\dfrac{5}{8}$

$\dfrac{m- 2}{2} = -\dfrac{5}{8}$

$8m - 16 = -10$

$8m = -10 + 16$

$8m = 6$

$\boxed{\boxed{m = \dfrac{3}{4}}}$