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# X, Y, and Z proof

Pro Problems > Math > Logic > Proofs > Indirect Proofs

## X, Y, and Z proof

Prove by contradiction: for any integers x, y, and z with z > 1, x2 - yz2 ≠ z.

Hint: This is a more generalized version of the problem found here: X Squared Proof

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Problem by Mr. Twitchell

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