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Answer :

Solution:

Given the equation below

[tex]x^2-6x=12[/tex]

Applying the completing the square method

Where the general form of a quadratic equation is

[tex]ax^2+bx+c=0[/tex]

For the completing square method,

[tex]Add\text{ }(\frac{b}{2})^2\text{ to both sides of the equation}[/tex]

Where

[tex]b=-6[/tex]

The number that should be added to both sides of the equation to complete the square is

[tex]=(\frac{-6}{2})^2=(-3)^2=9[/tex]

Hence, the number is 9 (option B)