Complex Numbers Flashcards
1
Q
Complex numbers are in the form?
A
a+bi
2
Q
If two complex numbers are equal
A
Their real parts are equal and their imaginary parts are equal.
3
Q
In complex numbers a²+b² can be factorised as
A
(a+bi)(a-bi)
4
Q
The conjugate of z = x+yi is
A
z*= x-yi
5
Q
If a quadratic equation with real coefficients has two complex roots, the roots are?
A
Conjugate
6
Q
If s and t are complex numbers, (s + t)* , (st)* and (s/t)* are the same as?
A
s* + t, st* and s/t
7
Q
For any complex number z, the conjugate is the reflection of z in what axis?
A
The real axis
8
Q
To find the roots of equation z^2 - az + b
A
Use the quadratic formula for z =.
There will be a negative number left under the root.
Turn it into a surd to remove the i and make the number under the root positive.
