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If the average of m and
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09 Aug 2021, 15:17
09 Aug 2021, 15:17
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If the average of m and \((x+y)^2=x^2+y^2\), what is the value of m?
(A) \(x − y\)
(B) \(x + y\)
(C) \((x − y)(x + y)\)
(D) \((x − y)^2\)
(E) \((x + y)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) \(x − y\)
(B) \(x + y\)
(C) \((x − y)(x + y)\)
(D) \((x − y)^2\)
(E) \((x + y)^2\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: If the average of m and
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09 Aug 2021, 20:01
09 Aug 2021, 20:01
1
\(Average = \frac{sum-of-all-the-numbers}{total-nos}\)
\(x^2 + y^2 = \frac{m + (x+y)^2}{2}\)
\(2(x^2 + y^2) = m + x^2 + y^2 + 2xy\)
\(m = x^2 + y^2 - 2xy\)
\(m = (x-y)^2\)
Answer D
\(x^2 + y^2 = \frac{m + (x+y)^2}{2}\)
\(2(x^2 + y^2) = m + x^2 + y^2 + 2xy\)
\(m = x^2 + y^2 - 2xy\)
\(m = (x-y)^2\)
Answer D
Re: If the average of m and
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07 Mar 2023, 08:26
07 Mar 2023, 08:26
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