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Learning Goal

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Solve quadratic equations with complex solutions

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HSN.CN.C.7
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What you'll learn

  1. Identify when a quadratic equation with real coefficients has complex (non-real) solutions using the discriminant.
  2. Apply the quadratic formula to obtain complex solutions in a + bi form.
  3. Recognize that complex solutions to real-coefficient quadratics always appear as conjugate pairs.
  4. Verify complex solutions by substitution.

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Solve quadratics complex solutions

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