Question

Найти неравенство
2^(x^2-7x+12) > 1

Answer 1

$2^{x^2-7x+12} textgreater 1$
$2^{x^2-7x+12} textgreater 2^0$
x²-7x+12>0
D=(-7)²-4*12=49-48=1
x=(7-1)/2=3
x=(7+1)/2=4
     +             -              +
---------(3)---------(4)----------

x∈(-∞;3)∪(4;+∞)