ОДЗ
x²-4x+1=0
D=16-4=12
x1=(4-2√3)/2=2-√3 U x2=2+√3
x<2-√3 U x>2+√3
x²-6x+5>0
x1+x2=6 U x1*x2=5
x1=1 U x2=5
x<1 U x>5
x∈(-∞;2-√3) U (5;∈)
log(4)[(x²-4x+1)/(x²-6x+5)]=-1/2
(x²-4x+1)/(x²-6x+5)=1/2
(x²-4x+1)/(x²-6x+5)-1/2=0
2x²-8x+2-x²+6x-5=0
x²-2x-3=0
x1+x2=2 U x1*x2=-3
x1=-1
x2=3 не удов усл