a) x = 15

b) x = 11

c) x = 68

d) x = 310

(x4)3=x6x19

a) x = 15.              b)      x = 11.        c) x = 68.              d) x = 310

Tìm xx biết:    \left(x^{4}\right)^{3}=\dfrac{x^{19}}{x^{6}}(x4)3=x6x19​

Trả lời: x=x= 

Trả lời

A.12:(x+4).3=6

    12:(x+4)   =6:3

    12:(x+4)   =2

         x+4     =12:2

         x+4     =6

         x         =6-4

         x         =2

a) 12 : (x + 4).3 = 6

\(\frac{12}{\left(x+4\right)}.3=6\)

\(\frac{36}{\left(x+4\right)}=6\)

x + 4 = 36 : 6

x + 4 = 6

x = 6 - 4

x = 2

b) 12 : (x + 4).3 = 5

\(\frac{12}{\left(x+4\right)}.3=5\)

\(\frac{36}{\left(x+4\right)}=5\)

x + 4 = 36 : 5

x + 4 = \(\frac{36}{5}\)

x = \(\frac{36}{5}\) - 4

x = \(\frac{16}{5}\)

c) 12 : (x + 4).3 + 18 = 24

\(\frac{12}{\left(x+4\right)}.3+18=24\)

\(\frac{18x+108}{x+4}=24\)

18x + 108 = 24x + 96

18x + 108 - 24x = 96

-6x + 108 = 96

-6x = 96 - 108

-6x = -12

x = -12 : -6

x = 2

a) 12 : (x + 4) . 3 = 6

=>(x + 4) . 3 = 12 : 6

=> (x + 4) . 3 = 2

=> x + 4         = 2 . 3

=> x + 4         = 6

=> x               = 2

b) 12 : (x + 4) . 2 = 5 

    12 : (x + 4)      = 5 : 2

     12 : (x + 4)     = 2,5

             x + 4      = 12 : 2,5

             x + 4      = 4,8

             x             = 0,8

c) 12 : (x + 4) . 3 + 18 = 24

=>12 : (x + 4) . 3          = 42

=> 12 : (x + 4)              = 42 : 3

=> 12 : (x + 4)              = 14

=>         x + 4                = 12 : 14

=>         x + 4                 = 6/7

=>          x                       = 6/7 - 4

=>          x                       = -22/7

\(12-\left|x+7\right|=12\)

\(\Rightarrow\left|x+7\right|=12-12\)

\(\Rightarrow\left|x+7\right|=0\)

\(\Rightarrow x+7=0\)

\(\Rightarrow x=0-7\)

\(\Rightarrow x=-7\)

Trả lời :

a, \(\frac{3}{4}-\left(\frac{1}{2}\div x+\frac{1}{2}\right)=\frac{3}{5}\)

=> \(\frac{1}{2}\div x+\frac{1}{2}=\frac{3}{20}\)

=> \(\frac{1}{2}\div x=\frac{-7}{20}\)

=> \(x=\frac{-10}{7}\)

b, (4 - x) . (2x + 3) = 0

=> \(\orbr{\begin{cases}4-x=0\\2x+3=0\end{cases}}\)

=> \(\orbr{\begin{cases}x=4\\x=\frac{-3}{2}\end{cases}}\)

c, \(\frac{4}{-3}=\frac{-12}{x}\)

=> 4x = 36

=> x = 9

d, \(\frac{4x}{-3}=\frac{12}{-x}\)

=> \(-4x^2=-36\)

=> 4x² = 36

=> x² = 9

=> x = \(\pm3\)

Bài 1:

a) \(\dfrac{9}{20}-\dfrac{8}{15}\times\dfrac{5}{12}\)

\(=\dfrac{9}{20}-\dfrac{2}{9}\)

\(=\dfrac{41}{180}\)

b) \(\dfrac{2}{3}\div\dfrac{4}{5}\div\dfrac{7}{12}\)

\(=\dfrac{2}{3}\times\dfrac{5}{4}\times\dfrac{12}{7}\)

\(=\dfrac{5}{6}\times\dfrac{12}{7}\)

\(=\dfrac{10}{7}\)

c) \(\dfrac{7}{9}\times\dfrac{1}{3}+\dfrac{7}{9}\times\dfrac{2}{3}\)

\(=\dfrac{7}{9}\times\left(\dfrac{1}{3}+\dfrac{2}{3}\right)\)

\(=\dfrac{7}{9}\times1\)

\(=\dfrac{7}{9}\)

Bài 2:

a) \(2\times\left(x-1\right)=4026\)

\(\left(x-1\right)=4026\div2\)

\(x-1=2013\)

\(x=2014\)

Vậy: \(x=2014\)

b) \(x\times3,7+6,3\times x=320\)

\(x\times\left(3,7+6,3\right)=320\)

\(x\times10=320\)

\(x=320\div10\)

\(x=32\)

Vậy: \(x=32\)

c) \(0,25\times3< 3< 1,02\)

\(\Leftrightarrow0,75< 3< 1,02\) ( S )

=> \(0,75< 1,02< 3\)

***c,4(x-5)-3(x+7)=-19

Suy ra (4x-20)-(3x+21)=-19

Suy ra (4x-3x)-(20+21)=-19

Suy ra x-41=-19

suy ra x=-19+41

Suy ra x=22

Vậy x=22

a) 1/2 - (3/4 - 5/6)

<=> 1/2 - (3/4 - 5/6) + x = 1 - x + x

<=> x + 7/12 = 1

<=> x = 1 - 7/12

<=> x = 5/12

=> x = 5/12

b) 1/4 - x = 1/3 - 1/5

<=> 1/4 - x = 5/15 - 3/15

<=> 1/4 - x = 2/15

<=> x = 2/15 - 1/4

<=> x = 7/60

=> x = 7/60

c) 5/3 - 3/4 + x = 7/12

<=> 20/12 - 9/12 + x = 7/12

<=> 11/12 + x = 7/12

<=> x = 7/12 - 11/12

<=> x = -1/3 (sau khi rút gọn)

=> x = -1/3