4 la puterea x patrat-5x+6=16 la puterea x

Răspuns :

4^x²-5x+6=16^x
4^x²-5x+6=4^2x
x²-5x+6=2x
x²-5x-2x+6=0
x²-7x+6=0
(x-1)(x-6)=0
x-1=0 => x=1
x-6=0 => x=6
S={1;6}