Question

Which of the following equations is an equation formed when completing the square on y 2 - 12y = -27?

(y - 6) 2 = -27
(y - 6) 2 = 9
(y + 6) 2 = 9

Answer 1

Hello,

You should write y²-12y=-27 or y^2-12y=-27

y²-12y=-27
==>y²-2*6y+6²=-27+36
==>(y-6)²=9
(second answer)

Answer 2

Answer: The correct option is

(B)
`(y-6)^2=9.`

Step-by-step explanation: We are given to select the equation that is formed when completing the square on the following equation :

`y^2-12y=-27~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following formula :

`a^2-2ab+b^2=(a-b)^2.`

From equation (i), we have

`y^2-12y=-27\\\\\Rightarrow y^2-2* x*6=-27\\\\\Rightarrow y^2-2* x* 6+6^2=-27+6^2\\\\\Rightarrow (y-6)^2=-27+36\\\\\Rightarrow (y-6)^2=9.`

Thus, the required equation that is formed is
`(y-6)^2=9.`

Option (B) is CORRECT.