A/ \(\frac{4}{5}+\frac{1}{5}x=\left(-\frac{1}{28}\right)\)

\(\frac{1}{5}x=\left(-\frac{1}{28}\right)-\frac{4}{5}\)

\(\frac{1}{5}x=\left(-\frac{5}{140}\right)-\frac{112}{140}\)

\(\frac{1}{5}x=-\frac{117}{140}\)

\(x=\left(-\frac{117}{140}\right):\frac{1}{5}\)

\(x=\left(-\frac{117}{28}\right)\)

B/ \(\left(\frac{3x}{7}+1\right):\left(-4\right)=-\frac{1}{28}\)

\(\frac{3x}{7}+1=\left(-\frac{1}{28}\right).\left(-4\right)\)

\(\frac{3x}{7}+1=\frac{1}{7}\)

\(\frac{3x}{7}=\frac{1}{7}-1\)

\(\frac{3x}{7}=\frac{1}{7}-\frac{7}{7}\)

\(\frac{3x}{7}=-\frac{6}{7}\)

\(\Rightarrow3x=\left(-6\right)\)(theo cách l8)

\(\Rightarrow x=\left(-6\right):3=\left(-2\right)\)

a: \(x\in\left\{0;25\right\}\)

c: \(x\in\left\{0;5\right\}\)

a) x=7

b)x=2/3

c)x=-13

d)x=3

e)x=-1

1.a)x=-21

b)x=87

c)x=20,5

Bài 2: 

x = (-2)

y = 3

a: \(\Leftrightarrow2\sqrt{2x}-10\sqrt{2x}+21\sqrt{2x}=28\)

=>\(13\sqrt{2x}=28\)

=>căn 2x=28/13

=>2x=784/169

=>x=392/169

b: \(\Leftrightarrow2\sqrt{x-5}+\sqrt{x-5}-\sqrt{x-5}=4\)

=>2*căn x-5=4

=>căn x-5=2

=>x-5=4

=>x=9

c: =>\(\sqrt{x-2}\left(\sqrt{x+2}-1\right)=0\)

=>x-2=0 hoặc x+2=1

=>x=-1 hoặc x=2

Bài 3:

a: \(S=1+5^2+5^4+\cdots+5^{200}\)

=>25S=\(5^2+5^4+5^6+\cdots+5^{202}\)

=>25S-S=\(5^2+5^4+\cdots+5^{202}-1-5^2-\cdots-5^{200}\)

=>24S=\(5^{202}-1\)

=>\(S=\frac{5^{202}-1}{24}\)

b: \(4^{30}=\left(2^2\right)^{30}=2^{60}=2^{30}\cdot2^{30}=8^{10}\cdot4^{15}\)

\(3\cdot24^{10}=3\cdot3^{10}\cdot8^{10}=8^{10}\cdot3^{11}\)

mà \(4^{15}>3^{11}\)

nên \(4^{30}>3\cdot24^{10}\)

=>\(2^{30}+3^{30}+4^{30}>3\cdot24^{10}\)

Bài 2:

a: |2x-3|>5

=>\(\left[\begin{array}{l}2x-3>5\\ 2x-3<-5\end{array}\right.\Rightarrow\left[\begin{array}{l}2x>8\\ 2x<-2\end{array}\right.\Rightarrow\left[\begin{array}{l}x>4\\ x<-1\end{array}\right.\)

c: |3x-1|<=7

=>-7<=3x-1<=7

=>-6<=3x<=8

=>\(-2\le x\le\frac83\)

d: \(\left|3x-5\right|+\left|2x+3\right|=7\) (1)

TH1: \(x<-\frac32\)

=>2x+3<0; 3x-5<0

(1) sẽ trở thành: -2x-3-3x+5=7

=>-5x+2=7

=>-5x=5

=>x=-1(loại)

TH2: -3/2<=x<5/3

=>2x+3>=0; 3x-5<0

(1) sẽ trở thành: 2x+3-3x+5=7

=>-x+8=7

=>-x=-1

=>x=-1(nhận)

TH3: x>=5/3

=>2x+3>0; 3x-5>=0

(1) sẽ trở thành: 2x+3+3x-5=7

=>5x-2=7

=>5x=9

=>x=9/5(nhận)

a.   2x+\(\dfrac{4}{5}\)=0 hoặc 3x-\(\dfrac{1}{2}\)=0

2x=- 4/5 hoặc 3x=1/2

x=-2/5 hoặc x=\(\dfrac{1}{6}\)

b. x-\(\dfrac{2}{5}\)=0 hoặc x+\(\dfrac{4}{7}\)=0

x=2/5 hoặc x=-\(\dfrac{4}{7}\)

d. x(1+5/8-12/16)=1

\(\dfrac{7}{8}\)x=1=> x=8/7

\(a,2.\left(x-5\right)-3.\left(x+7\right)=14\)

            \(2x-10-3x-21=14\)

                                 \(-x-31=14\)

                                                \(x=-31-14\)

                                                \(x=-45\)

\(b,5.\left(x-6\right)-2\left(x+3\right)=12\)

             \(5x-30-2x-6=12\)

                                \(3x-36=12\)

                                           \(3x=12+36\)

                                           \(3x=48\)

                                              \(x=16\)

\(c,-5.\left(2-x\right)+4.\left(x-3\right)=10.x-15\)

              \(-10+5x+4x-12=10x-15\)

                                    \(-6x-22=10x-15\)

                                  \(-6x-10x=-15+22\)

                                             \(-16x=7\)

                                                      \(x=-\frac{7}{16}\)

Câu d , e f tương tự nha

bạn làm rất   đúng ,cảm ơn bn nhìu

a) 1/4(x-3)+2=1/5

1/4.(x-3) = 1/5-2

1/4.(x-3) = -9/5

x-3 = (-9/5):1/4

x-3 = -36/5

x = -36/5+3

x= -21/5