(10+2√10)/√10=(10+2√10)/√10 * √10/√10=(10√10+20)/10= =10(√10+2)/10=√10 +2
(x-9)/(x-6√x +9)=(√x-3)(√x+3) /(√x-3)²=(√x+3)/(√x-3)=(√x+3)/(√x-3)
ОДЗ:x>1
㏒4((x-1)(x+11))=㏒4 64
x^2+11x-x-11=64
x^2-10x-75=0
x1=-5(посторонний корень)
x2=15
A₁ = 3, a₂ = 10 , тогда d = a₂ - a₁ = 10 - 3 = 7
an = a₁ + d(n - 1)
3 + 7(n - 1) = 164
3 + 7n - 7 = 164
7n - 4 = 164
7n = 164 + 4
7n = 168
n = 168 : 7
n = 24