16^{2} +(16-m)^2 = (16+m)^2 find m.

Question

16^{2} +(16-m)^2 = (16+m)^2
find m.

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Vivian 3 months 2021-11-06T13:48:46+00:00 1 Answer 0 views 0

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    2021-11-06T13:49:54+00:00

    Answer:

     {16}^{2}  + (16 - m) {}^{2}  = (16 + m) {}^{2}  \\ 256 + 256 +  {m}^{2}  - 32m = 256 +  {m}^{2}  + 32m \\ 512 +  {m}^{2}  - 32m = 256 +  {m}^{2}  + 32m \\ 512 - 256 +  {m}^{2}  - 32m -  {m}^{2}  - 32m = 0 \\ 256 - 64m = 0 \\  - 64m =  - 256 \\ m =  \frac{256}{64}  \\ m = 4

    Hope my answer will help you…

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