❌what number would you have to add to both sides to complete the square?
x^2+12x=-6
a) 36
b) -36
c) 144
d) -144

Hello,

Let's to remember,

To the perfect square:

X^2 +12x = -6

We would have to add 6^2

Because,

X^2 + 2.(6X) = -6

As (x+k) = x^2 +2xk +k

And,

2xk = 2.6x

xk = 6x

K = 6

Then,

(X+k)^2 = x^2 + 2xk+k^2

= x^2+2.x.6+6^2

= x^2+6x+36

We would to add 36, and would stay:

X^2 + 6X = -6

x^2 +6x + 36 = -6 +36

X^2 +2.6x +6^2 = 30

(X+6)^2 = 30

Answer is the letter A)