# Math Help - inequation

1. ## inequation

Solve:
$2^{x^{2}-6x+3}+6^{x^{2}-3x+1}\geq 3^{2x^{2}-6x+3}$

2. ## Re: inequation

It is not true for all x.
x=3, 2^(9-18+3) = 2^(-6)
6^(9-9+1) = 6
2^(-6) + 6 is less than 3^(18-18+3) = 27

3. ## Re: inequation

for x=1 =>5/12 > 4/12

4. ## Re: inequation

Originally Posted by coolge
It is not true for all x.
x=3, 2^(9-18+3) = 2^(-6)
6^(9-9+1) = 6
2^(-6) + 6 is less than 3^(18-18+3) = 27
Yes, that's why metalari said "solve". For what values of x is it true?