SOLUTION: x^3=1 What are all real and complex solutions. I have the answer in my book but I don't understand where it came from.

Algebra.Com
Question 354980: x^3=1

What are all real and complex solutions. I have the answer in my book but I don't understand where it came from.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Subtract 1 from both sides.


Factor the left side using the difference of cubes formula.


or Use the zero product property.


Now solve to get


Next, solve to get or . See this page for the steps on solving


So the solutions are , or


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

RELATED QUESTIONS

Simplify -2√180u³v^6 I know what the answer is but I don't understand the u³ and... (answered by Theo,greenestamps)
I have been working on this problem forever and can not come up with the answer in the... (answered by khwang)
I am trying to solve this problem. I get how to do part A. I don’t know how to graph... (answered by solver91311)
Hello...I have several questions, i have worked all of them but do not understand the... (answered by albert)
Hello! I am stuck! I am to find all the solutions in the complex number set of Z^5=-32 (answered by Alan3354)
Dear teaches, my math teacher gave me the following sequence: 1234321, 26121262,... (answered by greenestamps)
I don't know if you have that textbook, but if so you may be able to help me. in section... (answered by stanbon,mangopeeler07)
the book asks to find all solutions in the interval(0.2Pi). the problem is: 1-sin... (answered by solver91311)
This is driving me crazy. I finally solved my problem, but I can’t figure out why my... (answered by kensson,MathTherapy)