2026 edexcel mathematics advanced
pure 1
i = - answer-√-1
Imaginary number - answer-A number of the form bi, where b ∈ R
Complex number - answer-Written in the form a + bi, where a, b ∈ R
Linking imaginary numbers to discriminant - answer-If b² - 4ac < 0, there are no real
roots
Complex numbers can be added or subtracted by - answer-adding or subtracting their
real parts and adding or subtracting their imaginary parts
You can multiply a real number by a complex number by - answer-multiplying out the
brackets in the usual way
If b² - 4ac < 0, then the quadratic equation ax² + bx + c has - answer-two distinct
complex roots, neither of which are real
i² = - answer--1
Principal square root of a complex number - answer-√z, has a positive real part
For any complex number z = a + bi, the complex conjugate of the number is defined as -
answer-z* = a - bi
z and z* are called - answer-a complex conjugate pair
You can use conjugates to - answer-divide two complex numbers
Argand diagram - answer-- Represents complex numbers
- x-axis is the real axis and y-axis is the imaginary axis
- z = x + iy is represented by the point P(x,y) where x and y are Cartesian coordinates
The complex number z = x + iy can be represented as - answer-the vector (x y) on an
Argand diagram
Modulus - answer-Magnitude of a corresponding vector
pure 1
i = - answer-√-1
Imaginary number - answer-A number of the form bi, where b ∈ R
Complex number - answer-Written in the form a + bi, where a, b ∈ R
Linking imaginary numbers to discriminant - answer-If b² - 4ac < 0, there are no real
roots
Complex numbers can be added or subtracted by - answer-adding or subtracting their
real parts and adding or subtracting their imaginary parts
You can multiply a real number by a complex number by - answer-multiplying out the
brackets in the usual way
If b² - 4ac < 0, then the quadratic equation ax² + bx + c has - answer-two distinct
complex roots, neither of which are real
i² = - answer--1
Principal square root of a complex number - answer-√z, has a positive real part
For any complex number z = a + bi, the complex conjugate of the number is defined as -
answer-z* = a - bi
z and z* are called - answer-a complex conjugate pair
You can use conjugates to - answer-divide two complex numbers
Argand diagram - answer-- Represents complex numbers
- x-axis is the real axis and y-axis is the imaginary axis
- z = x + iy is represented by the point P(x,y) where x and y are Cartesian coordinates
The complex number z = x + iy can be represented as - answer-the vector (x y) on an
Argand diagram
Modulus - answer-Magnitude of a corresponding vector
