Rational targets from sums and differences

Rational targets from sums and differences

Secondary 2
TGM Original Questions
  1. Given \(a+b=35\) and \(a-b=33\), find \(\frac{a^2-b^2}{5}\).
  2. Given \((2x+2y)^2=100\) and \(xy=-3.5\), find \(\frac{x^2+y^2}{8}\).

Solution:

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Answer:(a) \(231\); (b) \(4\).

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