Question

giúp mình với.

Answer 1

`(x-1/4)^2 + 17/64 =21/32`

`=>(x-1/4)^2=21/32-17/64`

`=>(x-1/4)^2=42/64-17/64`

`=>(x-1/4)^2=25/64`

`=>(x-1/4)^2=(5/8)^2`

\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{4}=\dfrac{5}{8}\\x-\dfrac{1}{4}=-\dfrac{5}{8}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{8}\\x=-\dfrac{3}{8}\end{matrix}\right.\)

Answer 2

\(\left(x-\dfrac{1}{4}\right)^2+\dfrac{17}{64}=\dfrac{21}{32}\)

\(\Rightarrow\left(x-\dfrac{1}{4}\right)^2=\dfrac{25}{64}\)

\(\Rightarrow x-\dfrac{1}{4}=\sqrt{\dfrac{25}{64}}\)

\(\Rightarrow x-\dfrac{1}{4}=\dfrac{5}{8}\)

\(\Rightarrow x=\dfrac{5}{8}+\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{7}{8}\)