Division of complex number, Mathematics

Assignment Help:

Division of complex number

Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of examples.

Example Write down each of the following in standard form.

                               (3 - i)/(2+ 7i)

Solution

thus, in each case we are actually looking at the division of two complex numbers. However The main idea here is that we desire to write them in standard form.  Standard form does not let for any i's to be in the denominator.  Thus, we have to get the i's out of the denominator.

Actually this is fairly simple if we remember that a complex number times its conjugate is a real number.  Thus, if we multiply the numerator & denominator by the conjugate of the denominator we will be capable to eliminate the i from the denominator.

(3 - i)/(2+ 7i) =(3 - i )( 2 - 7i)/ (2+ 7i) ( 2 - 7i) = 6 - 23i+ 7i2 /22 +72

= -1 - 23i/53 = (1/53)-(23/53)i

Note that to put the answer into standard form we broke up the fraction into the real & imaginary parts.


Related Discussions:- Division of complex number

Rational, how can you identify if a certain number is rational or irrationa...

how can you identify if a certain number is rational or irrational?

How to converting scientific notation to standard notation , How to Convert...

How to Converting Scientific Notation to Standard Notation ? To change a number in scientific notation to standard notation, move the decimal point the same number of places as

Decimals, which one of the following examples represents a repeating decima...

which one of the following examples represents a repeating decimal? 0.123123,1.111114,0.777777,4.252525?

Shares and dividends, at what price a 6.25%rs 100 share be quoted when the ...

at what price a 6.25%rs 100 share be quoted when the money is worth 5%

Solving trig equations with calculators part ii, Solving Trig Equations wit...

Solving Trig Equations with Calculators, Part II : Since this document is also being prepared for viewing on the web we split this section into two parts to keep the size of the

Graph and algebraic methods , To answer each question, use the function t(r...

To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour. a. Sydney drives 10 mi at a c

Geometry, I need help in my homework

I need help in my homework

Lance has 70 cents margaret has 3/4 who has the most money, Lance has 70 ce...

Lance has 70 cents, Margaret has three-fourths of a dollar, Guy has two quarters and a dime, and Bill has six dimes. Who has the most money? Lance has 70 cents. Three-fourths o

Fourier series - partial differential equations, Fourier series - Partial D...

Fourier series - Partial Differential Equations One more application of series arises in the study of Partial Differential Equations.  One of the more generally employed method

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd