Step-by-step explanation:
153∕4 + 8i is the correct answer
[I'm supposing that you have to find the value of (1/ 2 + 4i)²]
Answer:
[tex] = \frac{ - 63}{4} + 4i[/tex]
Step-by-step explanation:
we must know that
[tex] {( \frac{1}{2} + 4i) }^{2} = { (\frac{1}{2} })^{2} + {(4i)}^{2} + 2 . \frac{1}{2} . 4i[/tex]
[tex] = \frac{1}{4} + 16 {i}^{2} + 4i[/tex]
[tex] = \frac{1}{4} - 16 + 4i[/tex]
[tex] = \frac{1 - 64}{4} + 4i[/tex]
[tex] = \underline{ \frac{ - 63}{4} + 4i} [/tex]
[I'm also assuming that instead of -153/4 + 4i option A says -63/ 4 + 4i.]
so the answer is option A.
