a,1/4

b,8

a, 1/4
b,8

a) x=1/4

b) -12

c) 50

d)Vậy x e thuộc {-3, -2, -1}

a)\(\frac{-5}{6}\).\(\frac{120}{25}\)<x<\(\frac{-7}{15}\).\(\frac{9}{14}\)

       -4                 <x<\(\frac{-3}{10}\)

\(\frac{-40}{10}\)<      x   <\(\frac{-3}{10}\)=>x E {-39:-38:-37:.....:-4}

b)\(\left(\frac{-5}{3}\right)^3\)<x<\(\frac{-24}{35}.\frac{-5}{6}\)

\(\frac{-875}{189}< x< \frac{108}{189}\)

=> x  E {\(\frac{-874}{189},\frac{-873}{189},......,\frac{107}{189}\)}

a) Vì \(\left|x-3\right|\ge0\)

Mà -10 < 0

=> không có giá trị x thõa mãn 

b) (x + 7)(x - 9) = 0

\(\Rightarrow\orbr{\begin{cases}x+7=0\\x-9=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-7\\x=9\end{cases}}\)

c) 2(x - 5) - 3(x - 4) = -6 + 15 . (-3)

2x - 10 - 3x + 12 = -6 + (-45)

-x + 2 = -51

-x = -51 - 2

-x = -53

x = 53

a, sai đề giá trị tuyệt đối luôn là số dương

b,x+7=0              x-9=0

x=-7                   x=9

b)(x+7) (x-9)=0

TH1:x+7=0

      x=0-7

     x=-7

vậy=-7

mình chịu :)

a: \(\Leftrightarrow-4< x< -\dfrac{3}{10}\)

mà x là số nguyên

nên \(x\in\left\{-3;-2;-1\right\}\)

b: \(\Leftrightarrow-\dfrac{125}{27}< x< \dfrac{4}{7}\)

mà x là số nguyên

nên \(x\in\left\{-4;-3;-2;-1;0\right\}\)

Bài 4:

a: =>7/x-5=2

=>x-5=7/2

=>x=17/2

b: =>1-2x=-5

=>2x=6

=>x=3

c: =>2x-3=5 hoặc 2x-3=-5

=>2x=8 hoặc 2x=-2

=>x=-1 hoặc x=4

d: =>2(x+1)^2+17=21

=>2(x+1)^2=4

=>(x+1)^2=2

=>\(x+1=\pm\sqrt{2}\)

=>\(x=\pm\sqrt{2}-1\)

1)

a)

\(\frac{-5}{6}.\frac{120}{25}< x< \frac{-7}{15}.\frac{9}{14}\)

\(\frac{-1}{1}.\frac{20}{5}< x< \frac{-1}{5}.\frac{3}{2}\)

\(\frac{-20}{5}< x< \frac{-3}{10}\)

\(\frac{-40}{10}< x< \frac{-3}{10}\)

\(\Rightarrow Z\in\left\{-4;-5;-6;-7;-8;-9;-10;...;-39\right\}\)

\(\left(\frac{-5}{3}\right)^3< x< \frac{-24}{35}.\frac{-5}{6}\)

\(\frac{25}{3}< x< \frac{-4}{7}.\frac{1}{1}\)

\(\frac{-25}{3}< x< \frac{-4}{7}\)

\(\frac{-175}{21}< x< \frac{-12}{21}\)

\(\Rightarrow Z\in\left\{-13;-14;-15;-16;...;-174\right\}\)

2)

a)

\(\left(\frac{9}{10}-\frac{15}{16}\right).\left(\frac{5}{12}-\frac{11}{15}-\frac{7}{20}\right)\)

\(=\left(\frac{72}{80}-\frac{75}{80}\right).\left(\frac{25}{60}-\frac{44}{60}-\frac{21}{60}\right)\)

\(=\frac{-3}{80}.\frac{-40}{60}\)

\(=\frac{-1}{-2}.\frac{-1}{-20}\)

\(=\frac{1}{40}\)

a: =>x+5+x-9=x+2

=>2x-4=x+2

=>x=6

c: =>|x-20|=5

=>x-20=5 hoặc x-20=-5

=>x=25 hoặc x=15

d: =>|x-5|=25/2

=>x-5=25/2 hoặc x-5=-25/2

=>x=35/5 hoặc x=-15/2

a, => x = -14 - 10 = -24

b, => x-7 = 13 - 5 = 8

=> x = 8 + 7 = 15

Tk mk nha

M = 1/4^2-1 + 1/6^2-1 + 1/8^2-1 +......+ 1/30^2-1