Consecutive integers from squared sum

Consecutive integers from squared sum

Secondary 2
6 marks
TGM Original Questions

Optional extension

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

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

Solution:

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

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