m-2-n-2-2-a-2-b-2-What-is-2-a-b-in-terms-of-m-and-n-

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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