SOLUTION: Hi Tutors: You are providing a great service to everybody who seeks help from this site. Please help me figure this one out? 2x^4+4x^2+2x-3 is-1 Thanks!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Hi Tutors: You are providing a great service to everybody who seeks help from this site. Please help me figure this one out? 2x^4+4x^2+2x-3 is-1 Thanks!      Log On


   

Question 10596: Hi Tutors:
You are providing a great service to everybody who seeks help from this site. Please help me figure this one out? 2x^4+4x^2+2x-3 is-1
Thanks!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Then you DID state it correctly the first time! Your re-post has a slight error in it that you might want to correct.

f%28x%29=2x%5E4%2B4x%5E2%2B2x-3+=+-1
2x%5E4%2B4x%5E2%2B2x-3+%2B1+=+0
2x%5E4%2B4x%5E2%2B2x-2=0

You can factor out a 2:
2%28x%5E4+%2B+2x%5E2+%2B+x+-1%29+=0

However, I don't see any way to factor this any further. Using my graphing calculator, it seems there are TWO REAL ROOTS, but they are irrational as far as I can tell. Maybe Kenny, Igor, or one of the other tutors will pick up the re-post of this question. You stumped me, at least for now. Maybe tomorrow I'll take another look at this.

R^2 at SCC