Answer:
B. [tex](x-3)^2=2[/tex].
Step-by-step explanation:
We have been given an equation [tex]x^2-6x+7=0[/tex]. We are asked to write our given expression in form [tex](x-a)^2=b[/tex].
First of all, we will subtract 7 from both sides of our given equation.
[tex]x^2-6x+7-7=0-7[/tex]
[tex]x^2-6x=-7[/tex]
Now, we will complete the square for left side of equation by adding the half the square of 6.
[tex](\frac{6}{2})^2=(3)^2=9[/tex]
Upon adding 9 on both sides of our equation, we will get:
[tex]x^2-6x+9=-7+9[/tex]
[tex](x-3)^2=2[/tex]
Therefore, our required equation would be [tex](x-3)^2=2[/tex] and option B is the correct choice.
