(x-2)³=216

=>\(\left(x-2\right)^3=6^3\)

=>x-2=6

=>x=8

x=8

\(\left(x-2\right)^3=216\\ \Rightarrow\left(x-2\right)^3=6^3\\ \Rightarrow x-2=6\\ \Rightarrow x=8\)

Vậy x = 8

a: \(x+\dfrac{3}{9}=\dfrac{7}{6}\cdot\dfrac{2}{3}\)

=>\(x+\dfrac{1}{3}=\dfrac{14}{18}=\dfrac{7}{9}\)

=>\(x=\dfrac{7}{9}-\dfrac{1}{3}=\dfrac{7}{9}-\dfrac{3}{9}=\dfrac{4}{9}\)

b: \(x-\dfrac{2}{3}=\dfrac{1}{8}:\dfrac{5}{4}\)

=>\(x-\dfrac{2}{3}=\dfrac{1}{8}\cdot\dfrac{4}{5}=\dfrac{1}{10}\)

=>\(x=\dfrac{1}{10}+\dfrac{2}{3}=\dfrac{3+20}{30}=\dfrac{23}{30}\)

TThế giới oi oi oi 

Em bấm vào biểu tượng \(\sum\) trên thanh công cụ và gõ phân số để mn dễ hỗ trợ nhé!

`(x^2+x-6)/(x^2+4x+3):(x^2-10x+25)/(x^2-4x-5)(x ne -1,x ne 5,x ne -3)`

`=((x-2)(x+3))/((x+1)(x+3)):(x-5)^2/((x+1)(x-5))`

`=(x-2)/(x+1):(x-5)/(x+1)`

`=(x-2)/(x-5)`

\(\dfrac{x^2+x-6}{x^2+4x+3}=\dfrac{\left(x+3\right)\left(x-2\right)}{\left(x+3\right)\left(x+1\right)}=\dfrac{x-2}{x+1}\)

\(\dfrac{x^2-10x+25}{x^2-4x-5}=\dfrac{\left(x-5\right)^2}{\left(x-5\right)\left(x+1\right)}=\dfrac{x-5}{x+1}\)

`|x-9|>=0`

`=>|x-9|+10>=10`

Dấu "=" xảy ra khi `x-9=0<=>x=9(TM\ x in Z)`

Dấu "=" xảy ra khi 

Giải:

A=|x-9|+10

Xét thấy: |x-9| ≥ 0 với mọi x

      ⇒|x-9|+10 ≥ 0+10

                    A ≥ 10

A nhỏ nhất =10 khi và chỉ khi

                               |x-9|=0

                                x-9=0

                                   x=0+9

                                   x=9

Chúc bạn học tốt!

\(25.\left(x+3\right)=250\)

\(x+3=250:25\)

\(x+3=10\)

\(x=10-3\)

\(\Rightarrow x=7\)

x = 7

25.(x + 3) = 250

x + 3 = 250 : 25

x + 3 = 10

x = 10 - 3 = 7

Vậy x = 7.

\(\left(x-1\right)^2=5^2\\\Rightarrow x-1=5\\ \Rightarrow x=5+1=6\)

\(\left(\dfrac{1}{3}\right)^{50}.\left(-9\right)^{25}-\dfrac{2}{3}:4\)

\(=\left(\dfrac{1}{3}\right)^{50}.\left[\left(-3\right)^2\right]^{25}-\dfrac{2}{3}.\dfrac{1}{4}\)

\(=\left(\dfrac{1}{3}\right)^{50}.\left(-3\right)^{50}-\dfrac{2}{12}\)

\(=\left[\dfrac{1}{3}.\left(-3\right)\right]^{50}-\dfrac{1}{6}\)

\(=\left(-1\right)^{50}-\dfrac{1}{6}\)

\(=1-\dfrac{1}{6}\)

\(=\dfrac{6}{6}-\dfrac{1}{6}\)

\(=\dfrac{5}{6}\)

\(\left(\dfrac{1}{3}\right)^{50}\cdot\left(-9\right)^{25}-\dfrac{2}{3}:4=\)

=\(\dfrac{1}{3^{50}}\cdot\left(-9\right)^{25}-\dfrac{2}{3}\cdot\dfrac{1}{4}\)

=\(\dfrac{\left(-9\right)^{25}}{9^{25}}-\dfrac{1}{6}\)

=\(-1-\dfrac{1}{6}\)

=\(-\dfrac{6}{6}-\dfrac{1}{6}\)

=\(-\dfrac{7}{6}\)

\(\dfrac{x}{15}\)+\(\dfrac{x}{12}\)=4/1+1/2=9/2

=>x(\(\dfrac{1}{15}\)+\(\dfrac{1}{12}\))=9/2

=>x\(\cdot\)\(\dfrac{3}{20}\)=9/2

=>x=9/2:3/20=30

Vậy x=30

\(\dfrac{x}{15}+\dfrac{x}{12}=\dfrac{9}{2}\Rightarrow\left(\dfrac{1}{15}+\dfrac{1}{12}\right)x=\dfrac{9}{2}\)

\(\Rightarrow\left(\dfrac{12+18}{180}\right)x=\dfrac{9}{2}\Rightarrow\dfrac{30}{180}x=\dfrac{9}{2}\Rightarrow\dfrac{1}{6}x=\dfrac{9}{2}\Rightarrow x=\dfrac{9}{2}.6=27\)