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If the average of m and (x + y)^2 = x^2 + y^2 , what is the value of m

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If the average of m and (x + y)^2 = x^2 + y^2 , what is the value of m  [#permalink]

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New post 27 Aug 2018, 10:37
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  15% (low)

Question Stats:

96% (00:48) correct 4% (01:07) wrong based on 25 sessions

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If the average of m and (x + y)^2 = x^2 + y^2 , what is the value of m  [#permalink]

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New post 27 Aug 2018, 10:55
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carcass wrote:
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. \((x+y)^2\)


\(\frac{m+(x+y)^2}{2}\) = \(x^2+y^2\)

=>m+\((x+y)^2\)= \(2x^2+2y^2\)
=>m = \(2x^2+2y^2 - x^2-2xy-y^2\)
=> m = \((x-y)^2\)

IMO, D
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Re: If the average of m and (x + y)^2 = x^2 + y^2 , what is the value of m  [#permalink]

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New post 27 Aug 2018, 10:56
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carcass wrote:
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. \((x+y)^2\)


\(\frac{m + x^2 + 2xy + y^2}{2} = x^2 + y^2\)

Or, \(m + x^2 + y^2 + 2xy = 2x^2 + 2y^2\)

Or, \(m = x^2 + y^2 - 2xy\)

Or, \(m = ( x - y )^2\), Answer must be (D)
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Re: If the average of m and (x + y)^2 = x^2 + y^2 , what is the value of m &nbs [#permalink] 27 Aug 2018, 10:56
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