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Which is greater: (x-2)^2 or x^2-4
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01 Oct 2017, 22:27
01 Oct 2017, 22:27
00:00
Question Stats:
68% (00:23) correct
31% (00:43) wrong based on 22 sessions
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Quantity A |
Quantity B |
\((x-2)^2\) |
\(x^2-4\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Re: Which is greater: (x-2)^2 or x^2-4
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01 Oct 2017, 23:40
01 Oct 2017, 23:40
1
Bunuel wrote:
Quantity A |
Quantity B |
(x-2)^2 |
x^2-4 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Since no information is given for x, so x can be any value
LEt consider x=2
then QTYA A =\((2-2)^2 = 0\)
QTY B=\(2^2 - 4 = 0\) . QTY A = QTY b
Let consider x= 5
QTY A = \(3^2 = 9\)
QTY B =\(25-4 = 21\)
SO QTY A< QTY B
Hence the option is D.
Re: Which is greater: (x-2)^2 or x^2-4
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Updated on: 03 Mar 2018, 03:47
Updated on: 03 Mar 2018, 03:47
1
After simplification of Quantity A
\((x-2)^2\) = \(x^2\) + 4 - 4x
We can subtract \(x^2\) from both Quantity A and Quantity B, because it will not have any impact i.e the greater quantity will remain greater and by same margin.
So we'll get:
Quantity A: 4 - 4x
Quantity B: 4x
Similarly, we can add 4x on both Quantities, because it will not impact or change the greater quantity to less quantity.
Thus, we'll get
Quantity A: 4
Quantity B: 8x
As we don't know whether x is positive, 0 or negative. So Choice D is correct.
\((x-2)^2\) = \(x^2\) + 4 - 4x
We can subtract \(x^2\) from both Quantity A and Quantity B, because it will not have any impact i.e the greater quantity will remain greater and by same margin.
So we'll get:
Quantity A: 4 - 4x
Quantity B: 4x
Similarly, we can add 4x on both Quantities, because it will not impact or change the greater quantity to less quantity.
Thus, we'll get
Quantity A: 4
Quantity B: 8x
As we don't know whether x is positive, 0 or negative. So Choice D is correct.
Originally posted by GREMasterBlaster on 02 Mar 2018, 12:30.
Last edited by GREMasterBlaster on 03 Mar 2018, 03:47, edited 1 time in total.
Last edited by GREMasterBlaster on 03 Mar 2018, 03:47, edited 1 time in total.
