Algebra: Factorising and Using the Result to Solve an Equation

Algebra: Factorising and Using the Result to Solve an Equation

Secondary 2
  1. Factorise \(6{{x}^{2}}+19x-36\).
  2. Hence, solve \(\frac{3x-1}{3x-4}-\frac{13}{6{{x}^{2}}+19x-36}=2\).

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Answer:(a) \((3x-4)(2x+9)\) (b) \(x=2\) or \(x=-\dfrac{25}{6}\)

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