What Are Complex Roots? Complex roots are the imaginary roots of quadratic equations which have been represented as complex numbers. The square root of a negative number is not possible and …

Jul 23, 2025 · In this article, we will learn about complex roots, arithmetic operations on complex roots, methods to find complex roots of a quadratic equation, and some practice problems based on them.

Feb 16, 2025 · Understand De Moivre’s theorem and be able to use it to find the roots of a complex number. A fundamental identity is the formula of De Moivre with which we begin this section. For any …

Find the complex roots of a quadratic function using the quadratic formula. Use the discriminant to determine whether a quadratic function has real or complex roots.

Nov 26, 2025 · "Learn about complex roots of polynomials for your IB Maths AA course. Find information on key ideas, worked examples and common mistakes."

The roots belong to the set of complex numbers, and will be called "complex roots" (or "imaginary roots"). These complex roots will be expressed in the form a ± bi.

Dec 1, 2025 · When a quadratic function does not intersect the x-axis, it has complex roots. When solving for the roots of a function algebraically using the quadratic formula, you will end up with a …

Nov 16, 2022 · In this section we discuss the solution to homogeneous, linear, second order differential equations, ay'' + by' + c = 0, in which the roots of the characteristic polynomial, ar^2 + br + c = 0, are …

May 16, 2025 · We’ll begin with an overview of complex numbers, delve into the Fundamental Theorem of Algebra, examine various methods for finding complex roots, and discuss graphical interpretations …

Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths. The following diagram explains complex conjugate pairs. Scroll down the page for more examples and solutions. If …