Scaled products and half-sums

Scaled products and half-sums

Secondary 2
4 marks
TGM Original Questions

Given \(m-n=6\) and \(m^2-n^2=42\), find \((\frac{m+n}{2})^2\).[4]

Solution:

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Answer:\(m+n=7\Rightarrow\left(\dfrac{m+n}2\right)^2=\dfrac{49}4\)

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