Topics
3. Quadratic Equations
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United States of America
Grades 9-12

3.09 Quadratic equations with complex solutions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Express $\sqrt{-100}$√−100 in terms of $i$i.

Medium
2min

Express $-\sqrt{-29}$−√−29 in terms of $i$i.

Medium
< 1min

Express $\sqrt{-28}$√−28 in terms of $i$i.

Medium
3min

Express $-9+\sqrt{-64}$−9+√−64 in terms of $i$i.

Medium
< 1min
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Outcomes

N.CN.C.7

Solve quadratic equations with real coefficients that have complex solutions

N.CN.C.8 (+)

Extend polynomial identities to the complex numbers.

N.CN.C.9 (+)

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

A.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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