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2.05 Quadratic equations with complex solutions

Adaptive
Worksheet

Interactive practice questions

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

Easy
2min

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

Easy
3min

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

Easy
< 1min

Express $8-\sqrt{-75}$875 in terms of $i$i.

Easy
3min
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Outcomes

A2.EI.2

The student will represent, solve, and interpret the solution to quadratic equations in one variable over the set of complex numbers and solve quadratic inequalities in one variable.

A2.EI.2a

Create a quadratic equation or inequality in one variable to model a contextual situation.

A2.EI.2b

Solve a quadratic equation in one variable over the set of complex numbers algebraically.

A2.EI.2d

Verify possible solution(s) to quadratic equations or inequalities in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

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