How to Write Quadratic Equation Given Two Complex Roots

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This video will show the step by step method and tricks in writing quadratic equation given two roots
  1. Mathema Teach
  2. write quadratic equation given two complex roots
  3. complex numbers
  4. quadratic equation
  5. quadratic equations
  6. complex roots quadratic equation
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Комментарии
Автор

Great video, but wouldn't the left side for the reverse zero-product property be (x-2-3i) and the right be (x-2+3i)? Wouldn't you have to distribute the negative to both terms?

josephjamal
Автор

Use the defenition of complex conjugates instead; whre (x-2) is the real part and 3i the imaginary. Thus, by definition of complex conjugates you would obtain (x-2) square - (3i) square...which simplifies to x^2 -4x+4-9i^2=x^2-4x+13

jrc