e) TH1: x-1>0  => x>1
<=> (x+1)^2 + x-1= x^2 +4
<=> x^2 +2x +1 +x-1=x^2 +4
<=>x=4/3(t/m)
TH2: x-1<0  => x<1
<=> (x+1)^2 -x+1= x^2 +4
<=> x^2 +2x+1-x+1=x^2 +4
<=> x=2(loại)

bài 2
d) TH1: x+2>0  =>  x>-2
<=> x+2=3x+4
<=> x=-1(t/m)
TH2: x+2<0  =>  x<-2
<=> -x-2=3x+4
<=> x=-3/2(loại)
 

a) <=> 11x-5x<4+20
<=> x<4
b) <=> x^2 -9<x^2 +4x+4+3
<=> x^2-x^2-4x<4+3+9
<=> x>-4
c) \(\Leftrightarrow\dfrac{6\left(2x+1\right)}{12}+\dfrac{36}{12}\ge\dfrac{4\left(3x-5\right)}{12}-\dfrac{3\left(4x+1\right)}{12}\)
<=> 12x+6+36\(\ge\)12x-20-12x-3
<=> 12x-12x+12x\(\ge\)-20-3-6-36
<=> x\(\ge\)\(-\dfrac{65}{12}\)
 

Tham khảo:

bài 5
a) 2^n . 4 = 128
=> 2^n=32
=> 2^n=2^5
=> n=5
b) (2n+1)^3=125
=> (2n+1)^3=5^3
=> 2n+1=5
=> 2n=4
=> n=2

bài 4
a) 3^3 . 27 : 81
=27.27:81
=729:81=9
b)100.1000.10000-10^9
=10^9-10^9=0

f) \(=x^2+2x-7x-14=x\left(x+2\right)-7\left(x+2\right)=\left(x-7\right)\left(x+2\right)\)