What is the value of h?
(1) h^2 = 36
(2) h^2 + 12h = -36
Can someone please explain their answer as well, the correct answer is down below
The answer is B
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cramya
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Remember this sqrt(x^2) = |x|
Stmt I
h^2 = 36
|h| = 6 which means h can be -6 or +6
INSUFF
Stmt II
h^2 + 12h = -36
h^2 + 12h +36 = 0
H^2+6H+6H+36=0
h(h+6) + 6(h+6)
(h+6) (h+6)
h=-6
SUFF
Choose B
Hope this helps!
Regards,
CR
Stmt I
h^2 = 36
|h| = 6 which means h can be -6 or +6
INSUFF
Stmt II
h^2 + 12h = -36
h^2 + 12h +36 = 0
H^2+6H+6H+36=0
h(h+6) + 6(h+6)
(h+6) (h+6)
h=-6
SUFF
Choose B
Hope this helps!
Regards,
CR
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radhaswami
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- Joined: Fri Feb 13, 2009 4:13 pm
its gmat tells u that u should have unique answer. that means for a situation to be sufficient it should give u one and only one value of h.
case (1) h=+6 also h=-6 both are different so NOT SUFFICIENT
case (2) h=-6 and h=-6 note that both the values in this case are the same i.e. -6 so B IN ITSELF IS SUFFICIENT
case (1) h=+6 also h=-6 both are different so NOT SUFFICIENT
case (2) h=-6 and h=-6 note that both the values in this case are the same i.e. -6 so B IN ITSELF IS SUFFICIENT
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Jeff@TargetTestPrep
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We need to determine the value of h.relaxin99 wrote:What is the value of h?
(1) h^2 = 36
(2) h^2 + 12h = -36
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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Head of GMAT Instruction
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