6^х+6^(х+1)=2^х+2^(х+1)+2^(х+2)
(1+6)6^х=(1+2+2^2)2^х
7*6^х=(1+2+4)2^х
6^х=2^х
3^х=3
х=0
14n/(n-3)+12n/(3-n)²*5(3-n)/4=14n/(n-3)+15/n/(3-n)=14n/(n-3)-15n/(n-3)=
=-n/(n-3)=n/(3-n)
n=3,1
3,1/(3-3,1)=3,1/(-0,1)=-31
{2x-1<x+3
{5x-1>6-2x
{x-3<0
{2x-x<3+1
{5x+2x>6+1
{x<3
{x<4
{x>1
{x<3
ответ x∈(1;3)
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{4x^2+5x-6>0
{7x>0
D=25+4*4*6=121=11^2;x₁=(-5-8)/8=-2;x₂=(-5+8)/8=3/4
{4(x+2)(x-3/4)>0
{x>0
{x∈(-∞;-2)U(3/4;+∞)
{x∈(0;+∞)
ответ x∈(3/4;+∞)
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{x+7>0
{x^2+5x≤0
{x>-7
{x(x+5)≤0
{x∈(-7;+∞)
{x∈[-5;0]
ответ x∈[-5;0]