Complex Numbers - Roots
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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.
Complex Numbers: Roots of a quadratic equation - conjugate pairs
If the roots of a quadratic equation are complex then they are always a complex conjugate pair.
Examples:
- Find the quadratic equation that has 5 - 3i as one of its roots.
- Find the quadratic equation that has -4 + 2i as one of its roots.
Complex Numbers: Roots of a cubic equation
Examples:
- Find all the roots of the equation x3 - 4x2 + x + 26 = 0
- 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
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