{9^(x-1)-1≠0⇒9^(x-1)≠1⇒x-1≠0⇒x≠1
{9^x-1≠0⇒9^x≠1⇒x≠0
9^x=a
a/(a-9)≥5/(a-1)+36/(a²-10a+9)
a1+a2=10 U a1*a2=9⇒a1=1 U a1=9
a/(a-9)-5/(a-1)-36/(a-9)(a-1)≥0
[a*(a-1)-5*(a-9)-36]/(a-1)(a-9)≥0
(a²-a-5a+45-36)/(a-1)(a-9)≥0
(a²-6a+9)/(a-1)(a-9)≥0
(a-3)²/(a-1)(a-9)≥0
a=3 a=1 a=9
+ _ _ +
---------------------(1)------------------[3]---------------(9)----------------
a<1⇒9^x<1⇒x<0<br>a=3⇒9^x=3⇒x=0,5
a>9⇒6^x>9⇒x>1
x∈(-∞;0) U (1;∞) U {0,5}