Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 1

Solve each equation. Identify any rejected root and explain why it is unacceptable.

  1. \( \frac{x^2-9}{x-3}=6. \)

  2. \( \frac{x^2-4}{x-2}=3x. \)

  3. \( \frac{x^2-16}{x+4}=2x+1. \)

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Answer:(a) \(x\ne3\); No solutions; reject \(x=3\) (b) \(x\ne2\); \(x=1\); reject \(x=2\) (c) \(x\ne-4\); \(x=-5\); reject \(x=-4\)

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