SOLUTION: 2 consecutive integers with the square root of 85. Would the answer be 7225 and 7224, even though you round the 7224?

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I think that you might have missed part of the question. What you have written doesn't make sense.
Perhaps you meant to write:
2 consecutive integers whose sum is the square root of 85. If this is what you meant, then read on:
Let x be the first integer, then (x+1) is the next consecutive integer. You can write:
Simplify.
Square both sides.
Subtract 1 from both sides.
Divide both sides by 2.
and

The two consecutive integers would be: 3612 and 3613