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2.04 Quadratic equations with complex solutions

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Outcomes

HSN.CN.C.7

Solve quadratic equations with real coefficients that have complex solutions

HSN.CN.C.8 (+)

Extend polynomial identities to the complex numbers.

HSN.CN.C.9 (+)

Know the fundamental theorem of algebra; show that it is true for quadratic polynomials.

HSA.REI.B.4.B

Solve quadratic equations by inspection (e.g. For x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

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