ПОМОГИТЕ ПЛИЗ lg(2x-1)+lg(x-9)=2

[latex]lg(2x-1)+lg(x-9)=2; ,; ; ODZ:; left { {{2x-1 extgreater 0} atop {x-9 extgreater 0}} ight. ; left { {{x extgreater frac{1}{2}} atop {x extgreater 9}} ight. ; ,x extgreater 9\\lg(2x-1)(x-9)=lg10^2\\2x^2-19x+9=100\\2x^2-19x-91=0\\D=361+728=1089,; ; sqrt{D}=33\\x_1=frac{19-33}{4}=-frac{14}{4}=-frac{7}{2}=-3,5otin ODZ\\x_2=frac{19+33}{4}=13\\Otvet:; ; x=13.[/latex]