Determine the sum of all real numbers $x$ satisfying
$$(x^2-4x+2)^{x^2-5x+2} = 1.$$
Note that anything raised to the '0' power = 1
5^0 = 1 123^0 = 1
so the exponent = 0
x^2 -5x + 2 = 0
Quadratic Formula shows x = 1/2 ( 5 +-sqrt(17) ) sum = 5
Correct...... what do YOU find for that answer? I'll let you answer that...... Thanx ! ~EP