Complex Numbers - Roots
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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
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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