start by saying then solve
what do you get?
Find all solutions of the equation:
x^4 + 2x^2 - 8 = 0
I know the roots are either complex or irrational because none of the rational possibilities work out. Is there a way to find the other roots without using a graphing calculator? Thanks for any help.
Also, by Descartes Rule of Signs, we know there are 1 positive and 1 negative solution; hence, we have a pair of complex numbers.
If you use the formula , you can use synthetic division to find your 2 real solutions and then use to find the complex pair.