Solving complex numbers:
Complex number is a number that can be expressed in the form z= r+bi. (r is the real part and b is the imaginary part), the real part and the imaginary part of a complex number cannot be combined. Solving complex numbers with the use of common operators are easy.
Complex number operations:
Sample problem
z1=x1+j(y1)
z2=x2+j(y2)
z1=x1+j(y1)
z2=x2+j(y2)
Addition:
Add the real part and the imaginary part.
z1+z2= (x1+x2) + j(y1+y2)
Subtraction:
Subtract the real part and the imaginary part.
z1-z2= (x1-x2) + j(y1-y2)
Multiplication:
Multiply the real part then add the angles. (This method can be only used when the complex number is converted to Polar form.)
x1*x2∟ᴓ1+ ᴓ2
Division:
Divide the real part then subtract the angles. (This method can be only used when the complex number is converted to Polar form.)
x1/x2∟ᴓ1- ᴓ2
z1+z2= (x1+x2) + j(y1+y2)
Subtraction:
Subtract the real part and the imaginary part.
z1-z2= (x1-x2) + j(y1-y2)
Multiplication:
Multiply the real part then add the angles. (This method can be only used when the complex number is converted to Polar form.)
x1*x2∟ᴓ1+ ᴓ2
Division:
Divide the real part then subtract the angles. (This method can be only used when the complex number is converted to Polar form.)
x1/x2∟ᴓ1- ᴓ2