Complex Numbers - Roots
Related Topics:
More Lessons for A Level Maths
Math Worksheets
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 the roots of a quadratic equation are complex then they are always a complex conjugate pair.
Examples:
1. Find the quadratic equation that has 5 - 3i as one of its roots.
2. Find the quadratic equation that has -4 + 2i as one of its roots.
Complex Numbers: Roots of a cubic equation
Examples:
1. Find all the roots of the equation x3 - 4x2 + x + 26 = 0
2. Find all the roots of the equation x3 - 7x2 + 17x - 15 = 0
Complex Numbers (How to find the nth root)
Example:
Solve x4 + 8√3 + 8i = 0
More Lessons for A Level Maths
Math Worksheets
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 the roots of a quadratic equation are complex then they are always a complex conjugate pair.
Examples:
1. Find the quadratic equation that has 5 - 3i as one of its roots.
2. Find the quadratic equation that has -4 + 2i as one of its roots.
Examples:
1. Find all the roots of the equation x3 - 4x2 + x + 26 = 0
2. Find all the roots of the equation x3 - 7x2 + 17x - 15 = 0
Example:
Solve x4 + 8√3 + 8i = 0
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.