Question

[x-2]mũ 2 =1

[2x-1]mu 3=-27

3/2 chia [x-5/3-17/3]=11/3

Answer 1

a)\(\left(x-2\right)^2=1\)

\(\Rightarrow\left(x-2\right)^2=\orbr{\begin{cases}1^2\\\left(-1\right)^2\end{cases}}\)

\(\Rightarrow x=\orbr{\begin{cases}3\\1\end{cases}}\)

b)\(\left(2x-1\right)^3=-27\)

\(\left(2x-1\right)^3=\left(-3\right)^3\)

\(\Rightarrow2x-1=-3\)

\(\Rightarrow x=-1\)

c)\(\frac{3}{2}:\left(x-\frac{5}{3}-\frac{17}{3}\right)=\frac{11}{13}\)

\(\Rightarrow\frac{3}{2}:\left(x-\frac{22}{3}\right)=\frac{11}{13}\)

\(\Rightarrow\frac{3}{2x}-11=\frac{11}{13}\)

\(\frac{3}{2x}=\frac{11}{13}+\frac{39}{13}=\frac{50}{13}\)

\(\Rightarrow39=100x\)

\(\Rightarrow x=\frac{39}{100}\)

Answer 2

a. (x-2)² = 1

    (x-2)² = 1²

     x-2    = 1

        x    = 1+2

        x    = 3

b. (2x-1)³ = -27

  (2x-1)³   = (-3)³

   2x-1      = -3

     2x       = -3 + 1

        x      = -2:2

        x      = -1

c. \(\frac{3}{2}:\left(x-\frac{5}{3}-\frac{17}{3}\right)=\frac{11}{3}\)

\(x-\frac{5}{3}-\frac{17}{3}=\frac{3}{2}:\frac{11}{3}\)

\(x-\frac{5}{3}=\frac{9}{22}+\frac{17}{3}\)

\(x=\frac{406}{66}+\frac{5}{3}\)

\(x=\frac{511}{66}\)

Answer 3

mk làm lại câu a nha

a. (x-2)² = 1

(x-2)² = \(\orbr{\begin{cases}1^2\\\left(-1\right)^2\end{cases}}\)

x = \(\orbr{\begin{cases}3\\1\end{cases}}\)

Answer 4

mk làm lại câu a giùm bn hatsumine miku nha