m^2 +n^2 =2(a^2 +b^2 ) What is 2(a+b) in terms of m and n


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Question Number 79289 by 21042009 last updated on 24/Jan/20

$m^{2} + n^{2} = 2 (a^{2} + b^{2})$ $W h a t i s 2 (a + b) i n t e r m s o f m a n d n$
Commented by mr W last updated on 24/Jan/20

$a + b = \pm \sqrt{{(a + b)}^{2}} = \pm \sqrt{a^{2} + b^{2} + 2 a b}$ $= \pm \sqrt{\frac{m^{2} + n^{2}}{2} + 2 a b}$ $t h a t m e a n s y o u c a n n o t d e t e r m i n e$ $2 (a + b) o n l y i n t e r m s o f m a n d n!$
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