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Determine the sum of all real numbers $x$ satisfying
$(x^2-4x+2)^{x^2-5x+2} = 1.$

Guest Aug 4, 2021

ElectricPavlov · Answer 1 · 2021-08-04T01:40:02

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