Equations with algebraic denominators

Equations with algebraic denominators

Secondary 2

3 marks

TGM Original Questions

Optional extension

Solve \(\dfrac4{3x}+1=\dfrac1{x^2}\), stating any excluded values.[3]

Solution:

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Answer:\(x=- \dfrac{2}{3} + \dfrac{\sqrt{13}}{3},\ - \dfrac{\sqrt{13}}{3} - \dfrac{2}{3}\); \(x\ne0\)

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