Question

1)Tìm x: (x-1/2)^2=4(làm ơn đó giúp mik đi mình cần rất gấp

Answer 1

( x- 1/2) ²= 4

( x- 1/2) ²= 2²

=> x- 1/2 =2

     x         = 2+1/2

     x         = 5/2

 

Answer 2

Answer:

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

\(\left(x-\dfrac{1}{2}\right)^2=\left(\pm2\right)^2\)

TH1:  \(\left(x-\dfrac{1}{2}\right)^2=2^2\)

             \(x-\dfrac{1}{2}=2\)

             \(x=2+\dfrac{1}{2}\)

             \(x=\dfrac{5}{2}\)

TH2:  \(\left(x-\dfrac{1}{2}\right)^2=\left(-2\right)^2\)

             \(x-\dfrac{1}{2}=-2\)

             \(x=-2+\dfrac{1}{2}\)

             \(x=\dfrac{-3}{2}\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{5}{4}\\x=\dfrac{-3}{2}\end{matrix}\right.\)