Consecutive integers from squared sum

Consecutive integers from squared sum

Secondary 2
TGM Original Questions

The squares of two consecutive positive integers have sum \(85\).

  1. Form a quadratic in the smaller integer \(x\).
  2. Solve it.
  3. Find the product of the integers.

Solution:

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Answer:(a) \(x^2+x-42=0\); (b) \(x=6\); (c) \(42\).

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