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

$y^2-12y=-27\\\\\Rightarrow y^2-2\times x\times6=-27\\\\\Rightarrow y^2-2\times x\times 6+6^2=-27+6^2\\\\\Rightarrow (y-6)^2=-27+36\\\\\Rightarrow (y-6)^2=9.$

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

Option (B) is CORRECT.