Question

Solve. (x – 6)2 = 2
x = 8 ± sqrt2

x = 6 ± sqrt2

x = 3 ± 2 sqrt2

x = 8 ± 2 sqrt2

Answer 1

\[x^2-12x+36=2\]
\[x^2-12x+34=0\]
now use quadratic formula
\[(-b \pm \sqrt{b^2-4ac})/2a\]
where a=1,b=-12 and c=34

Answer 2

final answer is x = 6 ± sqrt2