cheeselover001 cheeselover001
  • 25-09-2014
  • Mathematics
contestada

(√3/2-1/2i)^2

Express in Stanford form a+bi

Respuesta :

Paweł19 Paweł19
  • 26-09-2014
[tex]\hbox{From formula:} \\ (a-b)^{2}=a^{2}-2ab+b^{2} \\ \\ (\frac{\sqrt{3}}{2}-\frac{1}{2}i)^{2}=\left( \frac{\sqrt{3}}{2}\right)^{2}-2 \cdot \frac{\sqrt{3}}{2} \cdot \frac{1}{2}i+\left(\frac{1}{2}i\right)^{2}=\frac{3}{4}+\frac{1}{4}i^{2}-\frac{\sqrt{3}}{2}i= \\ = \frac{3}{4}-\frac{1}{4}-\frac{\sqrt{3}}{2}i=\frac{1}{2}-\frac{\sqrt{3}}{2}i \\ \\ \hbox{because} \ \ i^{2}=-1[/tex]
Answer Link

Otras preguntas

what is the place value of 4 in 7,916,004
decimals between 10 and 15 with an interval of 0.75
How is personal choice related to the universality of sin?
what is the answer to -20+5p-7z
if one set of 16 ping-pong balls cost $8, how much will 320 ping-pong balls cost???
Why are political parties considered an important part of a democratic political system?
The study of human language includes the study of
Which word in the sentence is a predicate nominative? Melbourne was the first city in the Southern hemisphere to host the Olympics. A. city B. hemisphere C.
Do individuals have a greater impact than larger groups in society in starting war ?
Tony brought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6 off. Write and evaluate express