Log_1/3(x^2 - x - 3) = -2

Question

Log_1/3(x^2 - x - 3) = -2

Answer 1

1/3^(-2)=х^2-х-3
9=х^2-х-3
х^2-х-12=0
х1=4
х2=-3

Answer 2

ОДЗ
x²-x-3>0
D=1+12=13
x1=(1-√13)/2
x2=(1+√13)/2
x∈(-∞;(1-√13)/2) U ((1+√13)/2:∞)
x²-x-3=9
x²-x-12=0
x1+x2=1 u x1*x2=-12
x1=-3
x2=4