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

theoretical minimum number of stations, A company is setting up an assembl...

A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a)      What cycle tim

He would such as to leave 20% tip how much should he leave, Mr. Pelicas too...

Mr. Pelicas took his family out to dinner. The bill was $65.00. He would such as to leave a 20% tip. How much should he leave? Find 20% by multiplying $65 through the decimal e

What is the radius of the traffic circle, In traveling three-fourths of the...

In traveling three-fourths of the way around a traffic circle a car travels 0.228 mi.  What is the radius of the traffic circle? The radius of the traffic circle is ____ mi.

#According to the CDC there were 597, Ask question #Minimum 100 words acceA...

Ask question #Minimum 100 words acceAccording to the CDC there were 597,689 deaths in the US in 2010 attributed to heart disease. a) Given That the US population in 2010 was clos

Calculus, how much it cost an hour

how much it cost an hour

Assigment, Q1: Find three positive numbers whose sum is 54 and whose produc...

Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.

Determine the relation is partially ordered, Determine if the relation repr...

Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t

Algebra, let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of...

let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?

#titl., class 10 Q.trigonometric formula of 1 term

class 10 Q.trigonometric formula of 1 term

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