Equations with algebraic denominators

Equations with algebraic denominators

Secondary 2

3 marks

TGM Original Questions

Optional extension

Solve \(\dfrac1{m+2}+\dfrac3{m^2-4}=1\), stating any excluded values.[3]

Solution:

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Answer:\(m=\dfrac{1}{2} - \dfrac{\sqrt{21}}{2},\ \dfrac{1}{2} + \dfrac{\sqrt{21}}{2}\); \(m + 2\ne0,\ m - 2\ne0\)

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