Question

2(x-5)^2=1
Solve the equation by extracting the square root

Answer 1

\[2\left( x-5 \right)^2=1,\left( x-5 \right)^2=\frac{ 1 }{ 2 }\]
\[x-5=\pm \frac{ 1 }{ 2 }\]
\[x=5\pm \frac{ 1 }{ 2 }\]

Answer 2

find the two values of x

Answer 3

correction
\[x-5=\pm \sqrt{\frac{ 1 }{ 2 }}=\pm \frac{ 1 }{ \sqrt{2} },x=5\pm \frac{ 1 }{ \sqrt{2} }\]