Square root of a complex number (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a complex number in the form?
What is a complex number in the form?
a + bi
Which part is solved first for the square root of complex?
Which part is solved first for the square root of complex?
Real part
How do you express the square of (x + iy)?
How do you express the square of (x + iy)?
x^2 - y^2 + 2ixy
What is the key relationship from the imaginary part?
What is the key relationship from the imaginary part?
2xy = b
When b=0, what is the nature of the complex number?
When b=0, what is the nature of the complex number?
Purely real
How are complex roots represented on an Argand diagram?
How are complex roots represented on an Argand diagram?
Symmetrically about real axis
What is essential to verify the found roots?
What is essential to verify the found roots?
Substitute into original
Why are complex roots important in fields like engineering?
Why are complex roots important in fields like engineering?
Practical applications
What is similar about solving quadratic and complex square roots?
What is similar about solving quadratic and complex square roots?
Same method using real/imaginary parts
What kind of equations do you get when solving for roots of z=a+bi?
What kind of equations do you get when solving for roots of z=a+bi?
Quadratic equations