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

Solution:

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,

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

Where

$b=-6$

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

$=(\frac{-6}{2})^2=(-3)^2=9$

Hence, the number is 9 (option B)