complex number, complex
Who was the first person to
use the term “imaginary
number”. Which other areas
of mathematics is this person
Find the complex roots of the quadratic equation x 4 x 13 0
Given that ( p 3i) q 12,i find the value of each of the real
numbers p and q.
Find the complex number z which satisfies (2 + i)z + (3 - 2i)z* = 32.
When a quadratic equation
with real coefficients has
complex roots – these are
always a pair of complex
Evaluate the following:
Use your result to
Find the value of the following, giving each answer in the
form a + bi, where a and b are integers.
(i) (2 + 3i)2
(ii) (2 + 3i)4
Given that 2 + 3i is a root of the equation z 4 40 z k 0
find the value of the real constant k.
(ii) Write down another root of the equation .
AQA – FP1