a/ x:0,16 = 9:x hay \(\frac{x}{0,16}=\frac{9}{x}\)

=>x.x=0,16.9

=>x²=1,44

=>x²=(1,2)²

=>x=1,2 hoặc x=-1,2

b)\(\frac{72-x}{7}=\frac{x-10}{9}\)

=>(72-x).9=7.(x-10)

648-9x=7x-70

-9x-7x=-70-648

-16x=-718

x=44,875

a) x: 0,16 =9:x hay       \(\frac{x}{0,16}\)=\(\frac{9}{x}\)

\(\Rightarrow\)x.x= 0,16.9

\(\Rightarrow\)\(^{x^2}\)=1,44

\(\Rightarrow\)\(^{x^2}\)= \(^{\left(1.2\right)^2}\)

\(\Rightarrow\)x=1,2 hoặc -1,2.

b) \(\frac{72-x}{7}\)= \(\frac{x-10}{9}\)

\(\Rightarrow\)(72-x).9 = 7.(x-10)

648-9x=7x-70

-9x - 7x=-70-648

-16x=-718

\(\Rightarrow\)x= 44,875.

44,875

<=> (x-18/74 - 1)+(x-20/72 - 1)+(x-22/70 - 1) = 0

<=> x-92/74 + x-92/72 + x-92/70 = 0

<=> (x-92).(1/74+1/72+1/70) = 0

<=> x-92 = 0 ( vì 1/74 + 1/72 + 1/70 > 0 )

<=> x=92

Vậy S = {92}

Tk mk nha

Ta có :

\(\frac{x-18}{74}+\frac{x-20}{72}+\frac{x-22}{70}=3\)

\(\Leftrightarrow\)\(\left(\frac{x-18}{74}-1\right)+\left(\frac{x-20}{72}-1\right)+\left(\frac{x-22}{70}-1\right)=3-3\)

\(\Leftrightarrow\)\(\frac{x-92}{74}+\frac{x-92}{72}+\frac{x-92}{70}=0\)

\(\Leftrightarrow\)\(\left(x-92\right)\left(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\right)=0\)

Vì \(\left(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\right)\ne0\)

\(\Rightarrow\)\(x-92=0\)

\(\Rightarrow\)\(x=92\)

Vậy \(x=92\)

Chúc bạn học tốt 

\(\text{Cách 1:}\)

    \(\frac{72-x}{7}=\frac{x-40}{9}\)

=> \(\left(72-x\right)\cdot9=\left(x-40\right)\cdot7\)

=> \(648-9x=7x-280\)

=> \(648+280=7x+9x\)

=> \(16x=928\)=> \(x=928:16=58\)

\(\text{Cách 2:}\)

\(\text{Áp dụng tính chất dãy tỉ số bằng nhau, ta có:}\)

\(\frac{72-x}{7}=\frac{x-40}{9}=\frac{72-x+x-40}{7+9}=\frac{32}{16}=2\)

\(\text{Ta suy ra:}\)

\(\frac{72-x}{7}=2\)=> \(72-x=2\cdot7=14\)=> \(x=72-14=58\)

\(\text{Vậy }x=58\)

a) \(\frac{x}{6}^2=\frac{24}{25}\)

\(\Rightarrow x^2.25=6.24\)

\(\Rightarrow x^2.25=144\)

\(\Rightarrow x^2=144\div25\)

\(\Rightarrow x^2=5,76=2,4^2=\left(-2,4^2\right)\)

\(\Rightarrow x\in\left\{2,4;-2,4\right\}\)

Vậy \(x\in\left\{2,4;-2,4\right\}\)

b) \(\frac{72-x}{7}=\frac{x-40}{9}\)

\(\Rightarrow\left(72-x\right).9=\left(x-40\right).7\)

\(\Rightarrow648-9x=7x-280\)

\(\Rightarrow\left(-280\right)-648\) \(=-9x-7x\)

\(\Rightarrow-928=-16x\)

\(\Rightarrow x=58\)

Vậy \(x=58\)

ta có:

                  \(\left(7\frac{1}{2}.8\frac{3}{70}+8\frac{3}{70}.\frac{9}{4}+\frac{19}{4}.8\frac{3}{70}+5\frac{1}{2}.8\frac{3}{70}\right):x=1126\)

                                                  \(8\frac{3}{70}\left(7\frac{1}{2}+\frac{9}{4}+\frac{19}{4}+5\frac{1}{2}\right):x=1126\)

                                                                \(\frac{563}{70}.\left(\frac{15}{2}+7+\frac{11}{2}\right):x=1126\)

                                                                                             \(\frac{563}{70}.20:x=1126\)

                                                                                                 \(\frac{1126}{70}:x=1126\)

                                                                                                   \(=>x=\frac{1126}{7}:1126\)

                                                                                                    \(=>x=\frac{1}{7}\)

            cho mình nha các bạn.

cho mình nha.

\(\frac{x-18}{74}+\frac{x-20}{72}+\frac{x-22}{70}=3\)

\(\Leftrightarrow\)\(\left(\frac{x-18}{74}-1\right)+\left(\frac{x-20}{72}-1\right)+\left(\frac{x-22}{70}-1\right)=0\)

\(\Leftrightarrow\)\(\frac{x-92}{74}+\frac{x-92}{72}+\frac{x-92}{70}=0\)

\(\Leftrightarrow\)\(\left(x-92\right)\left(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\right)=0\)

Mà \(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\ne0\)

\(\Leftrightarrow\)\(x+92=0\)

\(\Leftrightarrow\)\(x=-92\)

Vậy S = { - 92 }

Ta có :

\(\frac{x-18}{74}+\frac{x-20}{72}+\frac{x-22}{70}=3\)

\(\Leftrightarrow\)\(\left(\frac{x-18}{74}-1\right)+\left(\frac{x-20}{72}-1\right)+\left(\frac{x-22}{70}-1\right)=3-3\)

\(\Leftrightarrow\)\(\frac{x-92}{74}+\frac{x-92}{72}+\frac{x-92}{70}=0\)

\(\Leftrightarrow\)\(\left(x-92\right)\left(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\right)=0\)

Vì \(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\ne0\)

\(\Rightarrow\)\(x-92=0\)

\(x=92\)

Vậy \(x=92\)

Chúc bạn học tốt 

Ta có 

\(\frac{x-18}{74}+\frac{x-20}{72}+\frac{x-22}{70}=3\)    

<=> \(\left(\frac{x-18}{74}-1\right)+\left(\frac{x-20}{72}-1\right)+\left(\frac{x-22}{70}-1\right)=0\)

<=> \(\frac{x-92}{74}+\frac{x-92}{72}+\frac{x-92}{70}=0\)

<=> \(\left(x-92\right)\left(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\right)=0\)

Mà \(\frac{1}{74}+\frac{1}{72}+\frac{1}{70}\ne0\)nên x-92=0

=> x=92

Ap dung tinh chat day ti so bang nhau Ta co :

\(\frac{x}{9}=\frac{z}{7}=\frac{y}{8}=\frac{t}{6}=\frac{y-t}{8-6}=\frac{70}{2}=35\)

Suy ra x= 35 . 9 =315

             z =35.7=245

             y = 35.8=280

             t=280-70=210

Vay x=315,y=280,z=245,t=210

Chuc ban hoc tot

Áp dunhj tính chất của dãy tỉ số bằng nhau ta có :

\(\frac{x}{9}=\frac{y}{8}=\frac{z}{7}=\frac{7}{6}=\frac{y-7}{8-6}=\frac{70}{2}=35\)

\(\Rightarrow\frac{x}{9}=35\Rightarrow x=315\)

\(\frac{y}{8}=35\Rightarrow y=280\)

\(\frac{z}{7}=35\Rightarrow z=245\)

\(\frac{t}{6}=35\Rightarrow t=210\)

Study well 

+ Á dụng tính chất dãy tỉ số bằng nhau ta có :

\(\frac{x}{9}=\frac{y}{8}=\frac{z}{7}=\frac{t}{6}=\frac{y-t}{8-6}=\frac{70}{2}=35\)

Suy ra \(\frac{x}{9}=35\Rightarrow x=315\)

            \(\frac{y}{8}=35\Rightarrow y=280\)

          \(\frac{z}{7}=35\Rightarrow z=245\)

           \(\frac{t}{6}=35\Rightarrow210\)

Vậy \(x=315;y=280;z=245;t=210\)

Chúc bạn học tốt !!!

a) (72-x).9=7.(x-40)

   648-9x=7x-280

648+280=7x+9x (chuyển vế)

928=16x

x=928:16=58

b) (37-x).7=3.(x+13)

 259-7x=3x+39

259-39=3x+7x

220=10x

x=220:10=22

c)(x-1).(x+3)=(x-2).(x+2)

x²+3x-x-3=x²+2x-2x-4

(x²-x²)+(3x-x-2x+2x)=-4+3

0+2x=-1

x=-1/2