Complex numbers.

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Presentation transcript:

Complex numbers

Extending the number system

Operations with complex numbers Do Q1-Q5, pp.226

Solving equations

Conjugate complex numbers If a quadratic equation with real coefficients has two complex roots, these roots are conjugate.

Conjugate roots for polynomials

Conjugate roots for polynomials Do Q3-Q10, p.230

Equations with complex coefficients

Geometrical representations Complex numbers in the plane can be represented in two ways.

Argand diagram- examples Do Q1-Q5, p.239

Vector versus Argand Addition Subtraction

The modulus

Properties of the modulus Do Q1-Q8, pp.235-236 Do Q1, Q2, Q6, Q7, Q8, pp.239-240