Question

(x-5/12)mũ 2 : 1 và 1/3= 0.25

 

Answer 1

`(x-5/12)^2 : 1 1/3= 0,25`

`=> (x-5/12)^2 : 4/3 = 0,25`

`=> (x-5/12)^2 =0,25 . 4/3`

`=> (x-5/12)^2 =1/3`

`=> (x-5/12)^2 =` \(\pm\left(\dfrac{1}{\sqrt{3}}\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{5}{12}=\dfrac{1}{\sqrt{3}}\\x-\dfrac{5}{12}=-\dfrac{1}{\sqrt{3}}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{\sqrt{3}}+\dfrac{5}{12}\\x=-\dfrac{1}{\sqrt{3}}+\dfrac{5}{12}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5+4\sqrt{3}}{12}\\x=\dfrac{5-4\sqrt{3}}{12}\end{matrix}\right.\)

`@ Yamada-Akiro`