root of 2+5i. By using foil method you willfind out the equation. For example:(2-5i) (2+5i) = 4+10i-10i-25i elimination will give you =-25i^2+4 you know i^2= -1 therefore =-25(-1)+4 a negative times a negative equals a positive =25+4=29You then add the complex root (2-5i) with its complex conjugate root (2+5i).2+5i =2-5i =4This will let you know that your equation is y=x^2+4x+29 and you are able to graph and see how and where the complex roots are located on the graph. Making An imaginary Number A Real Number You can multiply, add, divide , subtract and even take the square root of anegative number. Like mentioned in the History of Imaginary Numbers, negativenumbers were not believed to be a valid answer. However, we know that a negativenumber does have meaning and is a valid answer. A negative number will let usdetermine many different things. We see them in our check books, when graphing, andeven when finding the expected number of a roulette game. Complex numbers can beadded to show you how they can become real numbers. For example:5i^2 + 4i^2= 9i^4 9(1)=9 The answer is a real number that we obtained after adding it to imaginary numbers. Youcan refer to the imaginary number cycle. It is known that i^4=1, nine is then multiplied by1 to get a positive nine. Weather you get a negative or positive number they are realnumbers.ConclusionImaginary numbers are in fact very real. They have common uses and veryintricate uses. Little does the average person know the imaginary number is one of theoldest and greatest discoveries ever found. ...
