SOLUTION: what is the only pair of consectutive integer whose square roots are also consecutive integer

SOLUTION: what is the only pair of consectutive integer whose square roots are also consecutive integer

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Question 219182: what is the only pair of consectutive integer whose square roots are also consecutive integer

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let be the 1st integer
Then will be the 2nd integer
given:

Square both sides of both equations
(1)

(2)
Substitute (1) in (2)

The numbers are 0 and 1

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