inequation

**metalari** · December 2nd 2012, 02:06 AM

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

**coolge** · December 2nd 2012, 04:54 AM

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

**metalari** · December 2nd 2012, 05:26 AM

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

**HallsofIvy** · December 2nd 2012, 05:52 AM

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?

Thread: inequation