The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) infinity of solutions b) 8 c) 16 d) 0 Please write the complete solution with explanations not only check the right option, thanks in advance.

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
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The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z= 2100 + 15 is:

a) infinity of solutions

b) 8

c) 16

d) 0

Please write the complete solution with explanations not only check the right option, thanks in advance.

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