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29 Oct 2010, 23:42
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:03) correct
28%
(02:38)
wrong
based on 2719
sessions
History
Date
Time
Result
Not Attempted Yet
If \(x ≠ 0\) and \(x = \sqrt{4xy - 4 y^2}\), then in terms of y, x = ?
A. \(2y\)
B. \(y\)
C. \(\frac{y}{2}\)
D. \(\frac{4y^2}{1-4y}\)
E. \(-2y\)
A. \(2y\)
B. \(y\)
C. \(\frac{y}{2}\)
D. \(\frac{4y^2}{1-4y}\)
E. \(-2y\)
26 Mar 2011, 07:34
Kudos
Bookmarks
If \(x ≠ 0\) and \(x = \sqrt{4xy - 4 y^2}\), then in terms of y, x = ?
A. \(2y\)
B. \(y\)
C. \(\frac{y}{2}\)
D. \(\frac{4y^2}{1-4y}\)
E. \(-2y\)
Square the expression to get\(x^2 = 4xy - 4y^2\);
Re-arrange: \(x^2-4xy+4y^2=0\);
\((x-2y)^2=0\);
\(x=2y\).
Answer: A.
A. \(2y\)
B. \(y\)
C. \(\frac{y}{2}\)
D. \(\frac{4y^2}{1-4y}\)
E. \(-2y\)
Square the expression to get\(x^2 = 4xy - 4y^2\);
Re-arrange: \(x^2-4xy+4y^2=0\);
\((x-2y)^2=0\);
\(x=2y\).
Answer: A.
26 Mar 2011, 07:51
Kudos
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petrifiedbutstanding
\(x = \sqrt{4xy-4y^2}\)
Square both sides;
\(x^2 = 4xy-4y^2\)
\(x^2+4y^2-4xy=0\)
\((x-2y)^2=0\) Note: \((a-b)^2=a^2+b^2-2ab\)
\((x-2y)^2=0\)
\(x-2y=0\)
\(x=2y\)
Ans: "A"
