# Quadratics With Complex Roots Worksheets

What Are Quadratics with Complex Roots? Algebra is an important part of mathematics which includes working with mathematical statements including constants, variables, and arithmetic operations. Statements that do not include an 'equals to' sign are what we call expressions, and the ones with an 'equal to' sign are known as equations. There are different types of equations in algebra. The most basic ones are linear, quadratic, and cubic equations. Linear equations are those that include variables with highest power 1, quadratic are those with highest power 2, and cubic is those with a highest power 3. When you solve quadratic equations, you get two values of the variable, which are known as roots, of the equations. There are two types of roots; real roots and imaginary or complex roots. When you solve a quadratic equation using the quadratic formula; roots = (-b ± √(b2 - 4ac)) / 2a. And you get a negative number in the square-root, it is the case of quadratic equations with complex roots. These roots contain iota 'I' in it.

• ### Basic Lesson

Guides students solving equations that involve an Quadratics With Complex Roots. Demonstrates answer checking. Solve for the indicated variable and express the roots of the equation in simplest a + bi form.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Quadratics With Complex Roots.

• ### Independent Practice 2

Students find the Quadratics With Complex Roots in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Quadratics With Complex Roots.

• ### Skill Quiz

This tests the students ability to evaluate Quadratics With Complex Roots.