Division of complex number, Mathematics

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.

Posted Date: 4/6/2013 3:23:43 AM | Location : United States







Related Discussions:- Division of complex number, Assignment Help, Ask Question on Division of complex number, Get Answer, Expert's Help, Division of complex number Discussions

Write discussion on Division of complex number
Your posts are moderated
Related Questions
a washing machine costs $640 plus an installation charge of 7.5% what is the totalcost?

One-sided limits: We do this along with one-sided limits.  As the name implies, with one-sided limits we will just looking at one side of the point in question.  Following are the

Multiplication of complex numbers After that, let's take a look at multiplication.  Again, along with one small difference, it's possibly easiest to just think of the complex n


If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =


Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?

Given the following decision tree, perform the tasks listed below  1. Simulate the route through the test market and produce results for twenty simulations, calculating the

Explain Pie Charts ? If the frequencies are written as percentages, they can be easily compared using a pie chart. The following is an example of a pie chart using the data fr

By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans:    4 x 2 +3 x +5=0 ⇒  x 2 + 3/4 x + 5 = 0 ⇒   x 2 + 3/4 x +