What is a complex number?

A complex number is a number that consists of two parts, a real part, like any number you have been dealing with since you started learning maths, and an imaginary number, often tagged along with a i or a j, for example a+bi. The best way to imagine it is as a vector on a plane, the point not unlike one on a x,y axes but instead on a real, imaginary axes. 

Related Further Mathematics A Level answers

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A mass m=1kg, initially at rest and with x=10mm, is connected to a damper with stiffness k=24N/mm and damping constant c=0.2Ns/mm. Given that the differential equation of the system is given by d^2x/dt^2+(dx/dt *c/m)+kx/m=0, find the particular solution.


Prove ∑r^3 = 1/4 n^2(n+1)^2


Prove that 1+4+9+...+n^2 = n(n+1)(2n+1)/6.


Given y=arctan(3e^2x). Show dy/dx= 3/(5cosh(2x) + 4sinh(2x))


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