3*9^x-10*3^x+3>=0
3^x=t
t>0
3t^2-10t+3>=0
t12=(10+-корень(100-36))/6=(10+-8)/6=3 1/3
3(t-3)(t-1/3)>=0
==============1/3=============3=============
++++++++++++++ ---------------------- ++++++++++
t<=1/3
3^x<=1/3
x<=-1
t>=3
3^x>=3
x>=1
x<=-1 x>=1
-------------------------
log^2 1/2 x + 2 log 1/2 x -3 >0
log1/2 x=t
x>0
t^2+2t-3>0
(t+3)(t-1)>0
===========-3============1===========
+++++++++++ ------------------- +++++++++++
t<-3 t>1
log1/2 x > 1
log1/2 x>log1/2 1/2
(1/2-1)(x-1/2)>0
x<1/2
log1/2 x<-3
log 1/2 x < log 1/2 8
(1/2-1)(x-8)<0
x-8>0
x>8
x=(0 1/2) U (8 + бесконечность)
X1 = 1/2^1 + 2^1 = 1/2 + 2 = 2,5
x2 = 1/2^2 + 2^2 = 1/4 + 4 = 4,25
x3 = 1/2^3 + 2^3 = 1/8 + 8 = 8,125
x4 = 1/2^4 + 2^4 = 1/16 + 16 = 16,0625
x5 = 1/2^5 + 2^5 = 1/32 + 32 = 32,03125
Log3 log3 ∛∛3= log3 log3 (3^1/9)=log 3 (1/9 log 3 (3))= log3 (1/9)=-2
(6-b)(6+b) / 5(b^2+12+36) = (6-b)(6+b) / 5(b+6)^2 = (6-b) / 5(b+6) = -(b+6) / 5(b+6) = - 1/5
<span>(2x-1)(2x+1)+x(x-10)=2x(x+1)
(4x²-1)+x²-10x=2x²+2x
3x²-12x-1=0
D=(-12)²-4·3·(-1)=144+12=156=4·39
x₁=(12-2√39)/6=(6-√39)/3 или х₂=(6+√39)/3</span>