SOLUTION: I don't know how to solve g(1-t)=3(1-t)^2-2(1-t)+1. I have seen many examples, but I still don't know how to do it.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I don't know how to solve g(1-t)=3(1-t)^2-2(1-t)+1. I have seen many examples, but I still don't know how to do it.      Log On


   

Question 1046104: I don't know how to solve g(1-t)=3(1-t)^2-2(1-t)+1. I have seen many examples, but I still don't know how to do it.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = (1-t)
Then:
g(x) = 3x^2 - 2x + 1
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%282+%2B-+sqrt%284+-+12+%29%29%2F%286%29+
x = %282+%2B-+sqrt%28-8%29%29%2F6
x = 1/3 ± 2i√2
and
1-t = 1/3 ± 2i√2
2/3 ± 2i√2 = t
Check All work
Note:
3x^2 - 2x - 1 = (3x + 1)(x-1) Much easier to solve