Question

FAN AND MEDAL!!!
PLEASE HELP!
What are the complex solutions of
x^5 + x^3 + 2x = 2x^4 + x^2 + 1

Answer 1

I tried solving it and the answer I got was 1....but I was way off when I went to check it...
The way I solved it was wrong...but I have no clue how to do it

Answer 2

@britanyashton @Hoslos

Answer 3

To begin with, do you know how to factorize a number? For example that of 18 is 18;9;3;1. Do you?

Answer 4

Did you use the rational root test?

Answer 5

whats that???

Answer 6

What I did was subtract 2x^4 + x^2 + 1 from each side to set it equal to 0
then I broke the equation into two separate ones
then I solved for it simplifying and using the quad formula and stuff

Answer 7

@Hoslos

Answer 8

Could you show me the equation's link? Because your answer is the same as mine.

Answer 9

what do u mean???....
like the link to my textbook with that problem?? @Hoslos

Answer 10

Yes. At least the picture and the sentence of what are you suppose to do. Because I am getting the same answers as yours.

Answer 11

okay one second @Hoslos

Answer 12

Okay.

Answer 13

I dont think I can...like because its my school textbook, i cant just put it online...
but I wrote the question exactly how it is in the book with all the directions

Answer 14

Please confirm.

Answer 15

And tell me the answer.

Answer 16

okay this is the answer in the answer key
\[\frac{ -1 \pm i \sqrt{3} }{ 2 } \]

Answer 17

Ok. I will try again. Let me work out.

Answer 18

Okay....I'll com back in a little bit... thank you!

Answer 19

http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions.faq.question.402814.html
http://www.haesemathematics.com.au/samples/ibhlcore-3_06.pdf
I recommend you to visit the following websites for better understanding. Once you master how to factor, you should easily find the roots, which is well explained in the pdf one. As for factor, try the other website.

Answer 20

Hey, for factoring, this should really help!
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-5th-degree-polynomial-to-find-real-zeros

Answer 21

Okay I will! Thank you @Hoslos

Answer 22

No problem.