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x2 – 2x = 0
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23 Jun 2018, 12:10
23 Jun 2018, 12:10
Expert Reply
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Question Stats:
70% (00:16) correct
29% (00:28) wrong based on 105 sessions
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\(x^2 - 2x = 0\)
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.
Quantity A |
Quantity B |
\(x\) |
\(2\) |
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.
Re: x2 – 2x = 0
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29 Jun 2018, 05:02
29 Jun 2018, 05:02
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sandy wrote:
\(x^2 - 2x = 0\)
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.
Quantity A |
Quantity B |
\(x\) |
\(2\) |
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.
Here \(x^2 - 2x = 0\)
or x (x - 2) = 0
either x = 0 or x-2 =0 or x = 2
If x = 0 then Statement 1 < Statement 2
If x= 2 then Statement 1 = Statement 2
Hence option D
Re: x2 – 2x = 0
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16 Jul 2018, 18:57
16 Jul 2018, 18:57
1
Expert Reply
Explanation
Factorize \(x^2 - 2x = 0\):
\(x^2 - 2x = 0\)
\(x(x - 2) = 0\)
\(x = 0\) OR \((x - 2) = 0\)
x = 0 or 2.
Thus, Quantity A could be less than or equal to Quantity B. The relationship cannot be determined from the information given.
(Note that you cannot simply divide both sides of the original equation by x. It is illegal to divide by a variable unless it is certain that the variable does not equal zero.)
Factorize \(x^2 - 2x = 0\):
\(x^2 - 2x = 0\)
\(x(x - 2) = 0\)
\(x = 0\) OR \((x - 2) = 0\)
x = 0 or 2.
Thus, Quantity A could be less than or equal to Quantity B. The relationship cannot be determined from the information given.
(Note that you cannot simply divide both sides of the original equation by x. It is illegal to divide by a variable unless it is certain that the variable does not equal zero.)
