Question

h ) \(4x^2-4x+1=4\)

Answer 1

\(\Rightarrow\left(2x\right)^2-2.2x+1^2=4\)

\(\Rightarrow\left(2x-1\right)^2=4\)

\(\Rightarrow\left[\begin{array}{nghiempt}2x-1=2\\2x-1=-2\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{3}{2}\\x=-\frac{1}{2}\end{array}\right.\)

 

Answer 2

\(4x^2-4x+1=4\)

\(\left(2x\right)^2-2.2x.1+1^2=4\)

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

\(\left(2x-1\right)=\pm\sqrt{4}\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}2x-1=2\\2x-1=-2\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}2x=3\\2x=-1\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{3}{2}\\x=-\frac{1}{2}\end{array}\right.\)

 

Answer 3

h) \(4x^2-4x+1=0\)

\(\Leftrightarrow\left(2x-1\right)^2=0\)

\(\Leftrightarrow2x-1=0\)

\(\Leftrightarrow x=\frac{1}{2}\)