Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

TGM Original Questions
  1. Solve the cubic equation \(2{{x}^{3}}-3{{x}^{2}}-2x+3=0\).
  2. Hence solve the equation \(\frac{2}{27}{{y}^{3}}-\frac{1}{3}{{y}^{2}}-\frac{2}{3}y+3=0\).

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Answer:(i) \(x = \frac{3}{2}, -1\) or \(1\) (ii) \(y = \frac{9}{2}, -3 \text{ or}\hspace{0.5em} 3\)

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