Question

If x² + 2 = 6x is solved by completing the square,an intermediate step would be1) (x + 3)2 = 72) (x - 3)2 = 73) (x-3)2 = 114) (x - 6)2 = 34

Answer 1

Simplify the equation to obtain the complete square.

$\begin{gathered} x^2+2=6x \\ x^2+2-6x=0 \\ x^2-2\cdot3\cdot x+(3)^2-(3)^2+2=0 \\ (x-3)^2-9+2=0 \\ (x-3)^2-7=0 \\ (x-3)^2=7 \end{gathered}$

So answer is,

$(x-3)^2=7$