2. Solving Equations

2.01 Linear and absolute value equations and inequalities

2.02 Quadratic equations

2.03 Operations with complex numbers

2.04 Quadratic equations with complex solutions

United States of America

Grades 9-12

2.04 Quadratic equations with complex solutions

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

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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