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

A cell has cytoplasm, a cell wall, naked DNA and ribosomes. Based on this information, what type of cell could this be? A. A cell from a pine tree B.
How do you reduce 42/70- math
what jobs do people have in the tropical rainforest
In California, babies can be surrendered to safe surrender sites without legal consequences if they are less than: a year old, 6 months old, 30 days old, a week
How do you reduce 42/70- math
Angle 4 is twice the size of angle 6, find angle 4. m∠4=
Zack sells full-grown ostriches for $925 and full-grown llamas for $890 each. Zack sold one less than twice as many llamas as ostriches this year. His total sal
Which of the following is no longer allowed in the Atlantic Provinces? (2 points) • cod fishing • fishing • aquaculture • fish processing
Why is Brazil developing the fuel ethanol into a major industry?
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equation that models the cost of each