Question 876013
the roots are 9 +/- i


start with x = 9 + i and x = 9 - i


to get the factors, set these equations equal to 0.


you do that as follows:


x = 9 + i
subtract 9 and subtract i from both sides of the equation to get:
x - 9 - i = 0


x = 9 - i
subtract 9 and subtract i from both sides of the equation to get:
x - 9 + i = 0


your factors are:


(x - 9 - i) and (x - 9 + i)


now you have to multiply these factors together:


use your distributive law to do this.


look at the picture to see the calculations.


<img src = "http://theo.x10hosting.com/2014/may2004.jpg" alt="$$$" </>


the next picture shows the factoring of the quadratic equation to confirm the solution is good.


<img src = "http://theo.x10hosting.com/2014/may2005.jpg" alt="$$$" </>


any questions, send me an email.