Question

Section 1- Question 1Ryan is solving the equation - 6x = 12 by completing the square. What number should be added to both sides of the equation to complete the square?

Answer 1

Given the equation below

`x^2-6x=12`

Applying the completing the square method

Where the general form of a quadratic equation is

`ax^2+bx+c=0`

For the completing square method,

`Add\text{ }((b)/(2))^2\text{ to both sides of the equation}`

Where

`b=-6`

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

`=((-6)/(2))^2=(-3)^2=9`

Hence, the number is 9 (option B)