Question

@ikatouni

Find the solution to the following equation by transforming it into a perfect square trinomial.




x^2 – 12x = 13

















A.



{46, 55}









B.

{–1, 13}








C.

{–15, 27}








D.

{–21, 33}

Answer 1

@aajugdar

Answer 2

@SolomonZelman

Answer 3

@paki

Answer 4

@mathslover

Answer 5

x^2 - 12x = 13

x^2 - 2(6)(x) = 13

x^2 - 2(6)x + 6^2 = 13 + 6^2 (added 6^2 both sides in order to complete the square)

(x-6)^2 = 13 + 36

(x-6)^2 = 49

take square root both sides

x -6 = +/- 7

Thus,

x - 6 = 7 or x- 6 = -7

Solve for x now. There will be 2 solutions.

Good Luck! (This was a direct solution because I'm a little busy with some work. So, can't help you with discussion right now)