a, 36:(x–5) =  2 2

(x–5) = 9

x = 14

b, [3.(70–x)+5]:2 = 46

[3.(70–x)+5] = 92

70–x = 29

x = 41

c, 450:[41–(2x–5)] =  3 2 .5

41–(2x–5) = 10

2x–5 = 31

2x = 36

x = 18

d, 230+[ 2 4 +(x–5)] = 315. 2018 0

16+(x–5) = 315–230

x–5 = 85–16

x = 69+5

x = 74

e,  2 x + 2 x + 1  = 48

2 x .(2+1) = 48

2 x = 16 =  2 4

x = 4

f,  3 x + 2 + 3 x  = 2430

3 x . 3 2 + 1 = 2430

3 x = 2430:10 = 243 =  3 5

x = 5

e) \(2^x+2^{x+3}=144\)

\(=>2^x+2^x.2^3=144\)

\(=>2^x.\left(1+2^3\right)=144\)

\(=>2^x.9=144\)

\(=>2^x=144:9\)

\(=>2^x=16=2^4\)

\(=>x=4\)

__________

f) \(3^x+3^{x+1}=108\)

\(=>3^x+3^x.3=108\)

\(=>3^x.\left(1+3\right)=108\)

\(=>3^x.4=108\)

\(=>3^x=108:4\)

\(=>3^x=27=3^3\)

\(=>x=3\)

\(#Wendy.Dang\)

2: =>(3x-7)^2=25/144=(5/12)^2

=>3x-7=5/12 hoặc 3x-7=-5/12

=>3x=5/12+7=89/12 hoặc 3x=7-5/12=79/12

=>x=89/36 hoặc x=79/36

3:Sửa đề: |2x-3|=|x+1|

=>2x-3=x+1 hoặc 2x-3=-x-1

=>x=4 hoặc 3x=2

=>x=2/3 hoặc x=4

4: =>3x+1=5 hoặc 3x+1=-5

=>3x=4 hoặc 3x=-6

=>x=-2 hoặc x=4/3

1: =>\(2x-7=\sqrt[3]{\dfrac{26}{63}}\)

=>\(2x=\sqrt[3]{\dfrac{26}{63}}+7\)

=>\(x=\dfrac{1}{2}\cdot\left(\sqrt[3]{\dfrac{26}{63}}+7\right)\)

\(a)x^4-2x^3-3x^2+4x+4=(x^4-x^3-2x^2)-\left(x^3-x^2-2x\right)-\left(2x^2-2x-4\right)\)

\(=\left(x^2-x-2\right)\left(x^2-x-2\right)=\left(x^2-x-2\right)^2\)

\(b)x^4+2x^3-23x^2-24x+144=\left(x^4+x^3-12x^2\right)+\left(x^3+x^2-12x\right)-\left(12x^2+12x-144\right)\)

\(=\left(x^2+x-12\right)\left(x^2+x-12\right)=\left(x^2+x-12\right)^2\)

1: \(=6x^2+2x-15x-5-x^2+6x-9+4x^2+20x+25-27x^3-27x^2-9x-1\)

=-27x^3-18x^2+4x+10

2: =4x^2-1-6x^2-9x+4x+6-x^3+3x^2-3x+1+8x^3+36x^2+54x+27

=7x^3+37x^2+46x+33

5:

\(=25x^2-1-x^3-27-4x^2-16x-16-9x^2+24x-16+\left(2x-5\right)^3\)

\(=8x^3-60x^2+150-125+12x^2-x^3+8x-60\)

=7x^3-48x^2+8x-35