\(\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+...+\dfrac{1}{38\times39}\)

\(=\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+...\dfrac{1}{38}-\dfrac{1}{39}\)

\(=\dfrac{1}{3}-\dfrac{1}{39}\)

\(=\dfrac{13}{39}-\dfrac{1}{39}\)

\(=\dfrac{12}{39}=\dfrac{4}{13}\)

`1/(3xx4)+1/(4xx5)+1/(5xx6)+...+1/(38xx39)`

`=1/3-1/4+1/4-1/5+1/5-1/6+...+1/38-1/39`

`=1/3-1/39`

`=4/13`

\(\dfrac{12^3.18^2}{24^2}=\dfrac{12^3.6^2.3^2}{6^2.4^2}=\dfrac{4^3.3^3.3^2}{4^2}=4.3^3.3^2=4.3^5=972\)

\(\dfrac{12^3.18^2}{24^2}=\dfrac{1728.324}{576}=\dfrac{559872}{576}=972\)

Vậy giá trị cần tìm là 972

\(\left[\left(6\times x-72\right):2-84\right]\times28=5628\)

\(\left(6\times x-72\right):2-84=5628:28\)

\(\left(6.x-72\right):2-84=201\)

\(\left(6.x-72\right):2=201+84\)

\(\left(6.x-72\right):2=285\)

\(6.x-72=285.2\)

\(6.x-72=570\)

\(6.x=570+72\)

\(6.x=642\)

\(x=642:6\)

\(x=107\)

[(6xX-72):2-84]x28=5628

⇒ (6xX-72):2-84=5629:28=201

⇒ (6xX-72):2=201+84=285

⇒ 6xX-72=285x2=570

⇒ 6xX=570+72=642

⇒ X= 642:6=107

⇒ X=107

\(\dfrac{2\cdot3+4\cdot6+14\cdot21}{3\cdot5+6\cdot10+21\cdot35}=\dfrac{2\left(3+2\cdot3+7\cdot21\right)}{3\left(5+2\cdot10+7\cdot35\right)}=\dfrac{2\cdot3\left(1+2\cdot3+7\cdot5\right)}{3\cdot5\left(1+2\cdot3+7\cdot5\right)}=\dfrac{2}{5}\)

\(\dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}\)

\(=\dfrac{6+24+294}{15+60+735}\)

\(=\dfrac{324}{810}\)

\(=\dfrac{2}{5}\)

\(\left(2600+6400\right)-3.X=1200\)

\(9000-3.X=1200\)

\(3.X=9000-1200\)

\(3.X=7800\)

\(X=7800:3\)

\(X=2600\)

(2600+6400)-3xX=1200

⇒ 9000-3xX=1200

⇒ 3xX=9000-1200=7800

⇒ X=7800:3=2600

⇒ X=2600

\(99^{3+1+3}.\left(99^2+99\right)=99^7.\left(99^2+99\right)=99^7.99^2+99^7.99=99^{99}+99^{98}\)

Đề hỏi j thế bạn

Tính giá trị biểu thức nha bạn

A = \(x\) - 2\(x\) + 3

A = - \(x\) + 3

|\(x\)| = 0,5

\(\left[{}\begin{matrix}x=0,5\\x=-0,5\end{matrix}\right.\)

Thay \(x=0,5\) vào A ta có: A = -0,5 + 3 = 2,5

Thay \(x\) = -,05 vào A ta có: A  = -(-0,5) + 3 = 3,5 

219-7x(x-1)=100

⇒ 7x(x-1)=219-100

⇒ 7x(x-1)=119

⇒ x-1=119:7

⇒ x-1=17

⇒ x=17+1

⇒ x=18

219-7(x+1)=100

7(x+1)=219-100

7(x+1)=119

x+1=119:7

x+1=17

x=17-1

x=16

    (x:2-1)x13-12=1

⇒ (x:2-1)x13=1+12

⇒ (x:2-1)x13=13

⇒ x:2-1=13:13

⇒ x:2-1=1

⇒ x:2=1+1

⇒ x:2=2

⇒ x=2x2

⇒ x=4

\(\left(X:2-1\right).13-12=1\)

\(\left(X:2-1\right).13=1+12\)

\(\left(X:2-1\right).13=13\)

\(X:2-1=13:13\)

\(X:2-1=1\)

\(X:2=1+1\)

\(X:2=2\)

\(X=2.2\)

\(X=4\)