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AS91577 Complex numbers

Quadratic and cubic equations with complex roots

AAchieved

  1. 1A Hamilton physics student models a damped oscillation. The model’s characteristic equation is z² + 8z + 41 = 0. Find the two complex roots, in the form a + bi.Free
  2. 2A Dunedin signal-processing assignment needs the roots of the quadratic equation x² − 2x + 5 = 0. Find both roots, in the form a + bi.Free
  3. 3When P(x) = 2x³ − x² − 5x + k is divided by (x + 2), the remainder is −6. Find the value of k.Free
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MMerit

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EExcellence

  1. 33A Excellence question, in the pass🔒 Pass
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