If (2x² - 3x + 1)¹⁰ = 1, the sum of all real x satisfying this equation is
Correct: A
A power equals 1 when base = 1 or base = -1 with even exponent, or exponent = 0. Here exponent 10 is even and non-zero, so either 2x² - 3x + 1 = 1 or = -1. First: 2x² - 3x = 0 → x(2x-3)=0 → x=0, 3/2. Second: 2x² - 3x + 2 = 0 has discriminant 9-16<0, no real roots. Sum = 0 + 3/2 = 3/2.