How Can You Simplify or Solve the Equation A^2 + B^2 * C^2 = C^2?

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SUMMARY

The equation A^2 + B^2 * C^2 = C^2 can be analyzed by considering the properties of integers A, B, and C. When |B| > 1, it follows that B^2 * C^2 > C^2, which implies that A^2 must be non-negative. This leads to the conclusion that B can only take specific integer values to satisfy the equation. Further exploration of integer solutions is necessary to fully simplify or solve the equation.

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Crusty
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How do you simplify this or solve it for any possible variables?
This should be easy huh?

A^2 + B^2 * C^2 = C^2
 
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A, B, C are alll integers right?
If so, then if |B| > 1, then
B2C2 > C2, right?
A2 >= 0, so what values can B have?
Can you go from here? :)
 

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