*Note: sorry for the late post guys my power went out multiple times throughout the week since Sunday and i wasn't able to post it.
How to solve imaginary Numbers?
What are imaginary Numbers?
A imaginary number is a number whose square is less than or equal to zero. Imaginary numbers are shown through the symbol of 
.
.
The reason why a imaginary number is used is to find the square root of a negative number or multiply a number by itself in order to get a negative product.
For example:
*=sqrt(-1) OR What can be do with it?
by taking the square root of both sides we can get:
= sqrt(-1)meaning that
is the square root of -1This is great because by thinking in terms of
or that exists it is easier to solve problems with a negative square root.LETS SOLVE A PROBLEM:
sqrt(25*-1)= sqrt(25)*sqrt(-1)= 5*sqrt(-1)= 5
In other words: √(-x) = i√x
The Interesting Property.
has an interesting property which consists of it going through four different values each time you multiply. Which are: *=-1*-1= -
-*= 1
*= 1*1=
OR CAN BE SEEN IN EXPONENTS LIKE SHOWN BELOW:
| i = √-1 | i2 = -1 | i3 = -√-1 | i4 = 1 | i5 = √-1 |
........etc
TRY IT YOURSELF:
Solve the following questions:
1.What is the square root of -49?
2.
What is i6
Websites used:
i^6 is equal to -1
ReplyDeletethe square root of -49 is 7i