Square Roots of a Complex Number - Advanced Previously we looked at how to find the square roots of a complex number in Cartesian form (a+bi). We can also find square roots using polar and ...
Geometry of Complex Multiplication & Division You now know how conjugation, addition and subtraction affect the geometry of complex numbers on an Argand diagram. Now we can look at the e...
Exponential Form of Complex Numbers You now know how to do lots of operations with complex numbers: add, subtract, multiply, divide, raise to a power and even square root. The last operation...
Inequalities & Regions in Argand Diagrams How do I sketch inequalities such as or on an Argand diagram? The inequality is satisfied by all complex numbers,, with a real part less than 2 ...
Loci in Argand Diagrams How do I sketch the locus of or on an Argand diagram? All complex numbers,, that satisfy the equation lie on a vertical line with Cartesian equation Any complex number along...
Modulus & Argument How do I find the modulus of a complex number? The modulus of a complex number is its distance from the origin when plotted on an Argand diagram The modulus of z is ...
Geometry of Complex Addition, Subtraction & Conjugation What does addition look like on an Argand diagram? The addition of complex numbers can be shown by the addition of corresponding column v...
Argand Diagrams - Basics What is an Argand diagram? An Argand diagram is a geometrical way to represent complex numbers as either a point or a vector in two-dimensional space We can represen...
Complex Roots of Quadratics What are complex roots? Complex numbers provide solutions for quadratic equations which have no real roots Complex roots occur when solving a quadratic with a ne...
