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# What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36

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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
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A4G
What is the value of h ?

(1) h^2 = 36
(2) h^2 + 12h = -36

From statement 2,
(h+6)^2 = 0
h+6 = 0
h = -6, that is clearly sufficient. In this case, B is sufficient

But l approached the statement differently,
h (h+12) = -36
Hence, h=-36 or h = -48. Two values for h. Hence insufficient. In this case the answer would be E
l know it's a silly mistake. Could someone please clarify.

Regards,

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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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
chetan2u
A4G
What is the value of h ?

(1) h^2 = 36
(2) h^2 + 12h = -36

From statement 2,
(h+6)^2 = 0
h+6 = 0
h = -6, that is clearly sufficient. In this case, B is sufficient

But l approached the statement differently,
h (h+12) = -36
Hence, h=-36 or h = -48. Two values for h. Hence insufficient. In this case the answer would be E
l know it's a silly mistake. Could someone please clarify.

Regards,

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

l understand now. Thank you very much, sir!
+1
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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
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.

Posted from my mobile device
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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
Grid
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.

Posted from my mobile device

h^2 + 12h + 6^2 = 0 is the same as (h + 6)^2 = 0, so there is no extra "12h" there.
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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
2
Kudos
A4G
What is the value of h ?

(1) h^2 = 36
(2) h^2 + 12h = -36

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.

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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
A4G
What is the value of h ?

(1) h^2 = 36
(2) h^2 + 12h = -36

(1) h=+6 or -6

Not suffcient.

(2) h^2+12h+36
(h+6) (h+6)=0

h= -6

Sufficient.

B
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What is the value of h ? (1) h2 = 36 (2) h2 + 12h = –36 Statement ( [#permalink]
What is the value of h ?

(1) h2 = 36
(2) h2 + 12h = –36

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

the square root of 36 is +- 6 not 6... what a slip up of an easy question.
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Re: What is the value of h ? (1) h2 = 36 (2) h2 + 12h = –36 Statement ( [#permalink]
Top Contributor
[quote="njp1"]What is the value of h ?

(1) h2 = 36
(2) h2 + 12h = –36

Statement 1: h2 = 36

h = +6 or -6

Statement 1 is insufficient, Answer Options could be B, C or E

Statement 2: h^2 + 12h = –36

h^2 + 12h + 36 = 0

(h + 6)^2

h = -6

Statement 2 is sufficient.

Option B

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Re: What is the value of h ? (1) h2 = 36 (2) h2 + 12h = –36 Statement ( [#permalink]
njp1
What is the value of h ?

(1) h2 = 36
(2) h2 + 12h = –36

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

the square root of 36 is +- 6 not 6... what a slip up of an easy question.

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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
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A4G
What is the value of h ?

(1) h^2 = 36
(2) h^2 + 12h = -36

1) h^2 = 36
or h = +_ 6
not sufficient

(2) $$h^2 + 12h = -36$$

(2) $$h^2 + 12h +36=0$$
$$(h-6)^2 = 0$$
h=6
sufficient
Thus B
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Re: What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36 [#permalink]
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