Rational rearrangement and a ratio
Rational rearrangement and a ratio
Secondary 2
3 marks
TGM Original Questions
Core stretch
Positive quantities satisfy \(\dfrac{p-x}{q}=\dfrac{p}{p+x}\). Express \(x\) in terms of \(p,q\). Given further that \(p=5q\), find \(x:q\).[3]
Solution:
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Answer:\(x=\sqrt{p(p-q)}\); \(x:q=2\sqrt5:1\).
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