Statement 1 :
h^2 = 36
h = +6 or h= -6
Not sufficient

Statement 2:
h^2 + 12h +36 = 0
(h+6)^2 = 0
h+6 = 0
h = -6
Sufficient .
Hence B

Hi Rana,
h (h+12) = -36 does not mean h =-36 or h=-48..
substitute and check..
h=-36......
h(h+12) = -36
so -36(-36+12) = -36.......... -36+12 = 1.. NO

h (h+12) = -36 does not mean h =-36
IT means the product of h and h+12 is -36...
so if h=-6, h+12 = -6+12 = 6...
and h*(h+12) = -6 * 6 = -36 ... correct..

Always take all to ONE side and solve
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Hi guys. I was struggling with the same question and I still do not understand your answers' explanations.
I agree that statement (1) is insufficient but I don't understand how statement (2) is sufficient. Here's how I did my calculations for statement (2):
h^2 + 12h = -36
h^2 + 12h + 36 = 0
h^2 + 12h + 6^2 = 0
(h + 6)^2 + 12h = 0
From here why does 12h disappear from the equation to make this statement sufficient ?
Thank you.

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We need to determine the value of h.

Statement One Alone:

h^2 = 36

We can solve the equation as follows:

h^2 = 36

√(h^2) = √(36)

|h| = 6

h = 6 or h = -6

Since there are two different values for h, statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

h^2 + 12h = -36

We can solve the equation as follows:

h^2 + 12h = -36

h^2 +12 h + 36 = 0

(h + 6)(h + 6) = 0

h = -6

Since there is only one value for h, statement two alone is sufficient to answer the question.

Answer: B
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