Показательное уравнение 4^(x-2)-17*2^(x-4)+1=0

4^(x - 2) - 17*2^(x - 4) + 1 = 0;(2^2)^(x - 2) - 17*2^(x - 2)*2^(-2) + 1 = 0;((2)^2)^(x - 2) - 17*2^(x - 2)*(1/4) + 1 = 0;((2)^(x - 2))^2 - (17/4)*2^(x - 2) + 1 = 0;((2)^(x - 2))^2 - 4,25*2^(x - 2) + 1 = 0;2^(x - 2) = y;y^2 - 4,25y +1 = 0;D = 18, 0625 - 4*1 = 14,0625, √D= 3,75;y1 = (4,25 + 3,75)/2 = 8/2 = 4;y2 = (4,25 - 3,75) = 0,5/2 = 0,25.2^(x - 2) = 4;2^(x - 2) = 2^2;х - 2 = 2;х = 2 + 2;х = 4.2^(x - 2) = 0,25;2^(x - 2) = 1/4;2^(x - 2) = 2^(-2);х - 2 = -2;х = -2 + 2;х = 0.Ответ. 0; 4.