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14 Jan 2015, 23:05
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:47) correct
7%
(01:08)
wrong
based on 878
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Which of the following equations is NOT equivalent to \(4x^2 = y^2 - 9\) ?
(A) \(4x^2+ 9 = y^2\)
(B) \(4x^2 - y^2 = -9\)
(C) \(4x^2= (y + 3)(y - 3)\)
(D) \(2x = y - 3\)
(E) \(x^2 = \frac{(y^2 - 9)}{4}\)
(A) \(4x^2+ 9 = y^2\)
(B) \(4x^2 - y^2 = -9\)
(C) \(4x^2= (y + 3)(y - 3)\)
(D) \(2x = y - 3\)
(E) \(x^2 = \frac{(y^2 - 9)}{4}\)
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14 Jan 2015, 23:29
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Hi abhisheknandy08,
This question is based on the various ways that you're mathematically "allowed" to manipulate an equation. We're asked to find the answer that is NOT the equivalent of the equation in the prompt.
We're given 4X^2 = Y^2 - 9
I'm going to work through the answers, starting with A....
A: If we ADD 9 to both sides, we'd have...
4X^2 + 9 = Y^2
This IS EQUIVALENT.
B: If we SUBTRACT Y^2 from both sides, we'd have....
4X^2 - Y^2 = -9
This IS EQUIVALENT.
C: If we FACTORED the "right side" of the equation, we'd have...
4X^2 = (Y+3)(Y-3)
This IS EQUIVALENT.
D: There's no acceptable math rule we can use to get to this answer.
This is NOT equivalent.
E: If we DIVIDE both sides by 4, we'd have....
X^2 = (Y^2 - 9)/4
This IS EQUIVALENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is based on the various ways that you're mathematically "allowed" to manipulate an equation. We're asked to find the answer that is NOT the equivalent of the equation in the prompt.
We're given 4X^2 = Y^2 - 9
I'm going to work through the answers, starting with A....
A: If we ADD 9 to both sides, we'd have...
4X^2 + 9 = Y^2
This IS EQUIVALENT.
B: If we SUBTRACT Y^2 from both sides, we'd have....
4X^2 - Y^2 = -9
This IS EQUIVALENT.
C: If we FACTORED the "right side" of the equation, we'd have...
4X^2 = (Y+3)(Y-3)
This IS EQUIVALENT.
D: There's no acceptable math rule we can use to get to this answer.
This is NOT equivalent.
E: If we DIVIDE both sides by 4, we'd have....
X^2 = (Y^2 - 9)/4
This IS EQUIVALENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
15 Jan 2015, 01:05
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abhisheknandy08
Similar questions to practice:
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which-of-the-following-equations-is-not-equivalent-to-10y-138730.html
