Question

Richie is solving the equation x^2 −12x = 28 by completing the square. What number should he add to both sides of the equation to complete the square?A) 6 B) 12C) 36D) 34

Answer 1

The given equation is:

`x^2-12x=28`

Add (12/2)^2=36 on both sides of the equation.

`\begin{gathered} x^2-12x+((12)/(2))^2=28+((12)/(2))^2 \\ x^2-12x+36^{}=28+36 \\ (x+6)^2=64 \end{gathered}`

Therefore, adding 36 to both sides of the equation complete the square.

Hence, option C is correct.