a, 118- ( x + 74 ) = 24

<=> x+ 74 = 118 - 24

<=> x + 74 = 94

<=> x = 94 - 74

Vậy x = 20

b, 25x -2x + 5^2 = 71

<=> 23x + 25 = 71

<=> 23x = 71- 25

<=> 23x = 46

<=> x = 46 : 23

Vậy x = 2

c, ( 7 - 2x ) ^3 =27

<=> ( 7- 2x )^3 = 3^3

=> 7- 2x = 3

<=> 2x = 7-3

<=> 2x = 4

<=> x = 4: 2

Vậy x = 2

a) 118 - ( x + 74 ) = 24

x + 74 = 118 - 24

x + 74 = 94 

x = 94 - 74 

x = 20 

b ) 25x - 2x +5² = 71

25x- 2x +25 = 71

25x - 2x = 71 - 25 

25x - 2x = 46 

thấy :25x - 2 x = 23x 

=> 23x = 46 

x = 46 : 23 

x =2

mk chỉ làm được đến đây thôi còn đâu chưa học ...tk mk nhé

a)\(118-\left(x+74\right)=24\)  

x+74=118-24

x+74=94 =>x=94-74=20

25x-2x+5² =71

x(25-2)+25=71

22x+25=71

22x=71-25

22x=46

x=46/22

c)(7-2x)³ = 27=3³ 

=>7-2x=3

2x=7-3

2x=4

x=4/2=2

Ta có: \(\frac{2x+5}{x+2}=\frac{2x+4}{x+2}+\frac{1}{x+2}=\frac{2.\left(x+2\right)}{x+2}+\frac{1}{x+2}=2+\frac{1}{x+2}\)

Nên \(\frac{2x+5}{x+2}=2+\frac{1}{x+2}\)

Để \(\frac{2x+5}{x+2}\) có giả trị nguyên thì \(2+\frac{1}{x+2}\) có giá trị nguyên

Nên x + 2 thuộc Ư(1) = {-1;1}

Ta có bảng : 

Vậy x = {-3;-1}

\(a,\Leftrightarrow x\left(2x-7\right)+2\left(2x-7\right)=0\\ \Leftrightarrow\left(x+2\right)\left(2x-7\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{7}{2}\end{matrix}\right.\\ b,\Leftrightarrow x\left(x^2-9\right)=0\\ \Leftrightarrow x\left(x-3\right)\left(x+3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=3\\x=-3\end{matrix}\right.\\ c,\Leftrightarrow\left(2x-1\right)\left(2x+1\right)-2\left(2x-1\right)^2=0\\ \Leftrightarrow\left(2x-1\right)\left(2x+1-4x+2\right)=0\\ \Leftrightarrow\left(2x-1\right)\left(-2x+3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{3}{2}\end{matrix}\right.\\ d,\Leftrightarrow x^2\left(x-1\right)-4\left(x-1\right)^2=0\\ \Leftrightarrow\left(x-1\right)\left(x^2-4x+4\right)=0\\ \Leftrightarrow\left(x-1\right)\left(x-2\right)^2=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)

3^x + 1 = 6² - ( 3² - 1 )

3^x + 1 = 36 - ( 9 - 1 )

3^x + 1 =  28

3^x       = 28 - 1

3^x       = 27

3^x       = 3³

=> x = 3

mk nghĩ vậy 

chúc bạn học tốt đúng thì kb nha 

M<1 => \(\frac{x-3}{x+2}\)<1

       <=> \(\frac{x-3}{x+2}\)- 1 < 0

       <=> \(\frac{x-3}{x+2}\)-\(\frac{x+2}{x+2}\)< 0

       <=> \(\frac{x-3-x-2}{x+2}\)< 0

       <=>              -5         < 0

=> Vô nghiệm

\(\dfrac{x}{-3}=\dfrac{y}{5}\)⇒\(\dfrac{x}{-6}=\dfrac{y}{10}\)

\(\dfrac{y}{2}=\dfrac{z}{7}\)⇒\(\dfrac{y}{10}=\dfrac{z}{35}\)

⇒\(\dfrac{x}{-6}=\dfrac{y}{10}=\dfrac{z}{35}\)

⇒\(\dfrac{2x}{-12}=\dfrac{3y}{30}=\dfrac{z}{35}\)

Áp dụng tính chất dãy tỉ số bằng nhau, ta có:

\(\dfrac{2x}{-12}=\dfrac{3y}{30}=\dfrac{z}{35}=\dfrac{2x-3y+z}{-12-30+35}=\dfrac{42}{-7}=-6\)

⇒\(\left\{{}\begin{matrix}x=-6.-6=36\\y=-6.10=-60\\z=-6.35=-210\end{matrix}\right.\)

\(a,\dfrac{x}{-3}=\dfrac{y}{5}\Rightarrow\dfrac{x}{-6}=\dfrac{y}{10};\dfrac{y}{2}=\dfrac{z}{7}\Rightarrow\dfrac{y}{10}=\dfrac{z}{35}\\ \Rightarrow\dfrac{x}{-6}=\dfrac{y}{10}=\dfrac{z}{35}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{-6}=\dfrac{y}{10}=\dfrac{z}{35}=\dfrac{2x}{-12}=\dfrac{3y}{30}=\dfrac{2x-3y+z}{-12-30+35}=\dfrac{42}{-7}=-6\\ \Rightarrow\left\{{}\begin{matrix}x=36\\y=-60\\z=-210\end{matrix}\right.\)

\(b,6x=4y=z\Rightarrow\dfrac{6x}{12}=\dfrac{4y}{12}=\dfrac{z}{12}\Rightarrow\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{12}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{12}=\dfrac{2x}{4}=\dfrac{3y}{9}=\dfrac{2x-3y+z}{4-9+12}=\dfrac{42}{7}=6\\ \Rightarrow\left\{{}\begin{matrix}x=12\\y=18\\z=72\end{matrix}\right.\)

\(c,x=-2y\Rightarrow\dfrac{x}{-2}=y\Rightarrow\dfrac{x}{-4}=\dfrac{y}{2}\\ 7y=2z\Rightarrow\dfrac{y}{2}=\dfrac{z}{7}\\ \Rightarrow\dfrac{x}{-4}=\dfrac{y}{2}=\dfrac{z}{7}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{-4}=\dfrac{y}{2}=\dfrac{z}{7}=\dfrac{2x}{-8}=\dfrac{3y}{6}=\dfrac{2x-3y+z}{-8+6+7}=\dfrac{42}{5}\\ \Rightarrow\left\{{}\begin{matrix}x=-\dfrac{168}{5}\\y=\dfrac{84}{5}\\z=\dfrac{294}{5}\end{matrix}\right.\)

x=(20+1)x10=210

1+2+3+4+...+19+20-x=0

=> x=1+2+3+4+...+19+20

x=(20+1)x10=210

nhầm:

x=((20+1)x20)/2

Bài 7:

a)(x-15)-75=0

⇔x-15=75

⇔x=90

b)575-(6x+70)=445

⇔6x+70=130

⇔6x=60

⇔x=10

c)x-105:21=15

⇔x-5=15

⇔x=20

d)(x-105):21=15

⇔x-105=315

⇔x=420