SOLUTION: Hi! I need to find all real solutions of this equation: x^6-2x^3-3=0 I don't think there are any real solutions as I can't factor it right (x^3+1)(x^3-3)=0. Thank you all so muc

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi! I need to find all real solutions of this equation: x^6-2x^3-3=0 I don't think there are any real solutions as I can't factor it right (x^3+1)(x^3-3)=0. Thank you all so muc      Log On


   

Question 31251: Hi! I need to find all real solutions of this equation:
x^6-2x^3-3=0
I don't think there are any real solutions as I can't factor it right (x^3+1)(x^3-3)=0.
Thank you all so much!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
your factors are the correct ones.

+%28x%5E3%2B1%29%28x%5E3-3%29=0+

so %28x%5E3%2B1%29=0 or %28x%5E3-3%29=0
+x%5E3=-1+ or +x%5E3+=+3+
--> x=-1 or x=cuberoot of 3

jon.