- #1
dcl
- 55
- 0
Heyas. I'm not too good at complex numbers so excuse me if these questions are a bit on the laughable side.
Find all real values for r for which ri is a solution of the equation.
z^4 - 2z^3 + 11z^2 - 18z + 18 = 0
hence, Determine all the solutions of the equations...
I'm not really sure how to tackle questions like this. I subbed in 'ri' for 'z' and worked out r, but it had multiple values, some of which are not solutiuons as listed in the back of the book. Perhaps i did it wrong all together.
A quick guide through the question would help heaps :)
Also
A similar question
Find the real number 'k' such that z=ki is a root of the equation:
z^3 + (2+i)z^2 + (2+2i)z + 4 = 0.
is this basically the same as the earlier question?
Thanks in advance :)
Find all real values for r for which ri is a solution of the equation.
z^4 - 2z^3 + 11z^2 - 18z + 18 = 0
hence, Determine all the solutions of the equations...
I'm not really sure how to tackle questions like this. I subbed in 'ri' for 'z' and worked out r, but it had multiple values, some of which are not solutiuons as listed in the back of the book. Perhaps i did it wrong all together.
A quick guide through the question would help heaps :)
Also
A similar question
Find the real number 'k' such that z=ki is a root of the equation:
z^3 + (2+i)z^2 + (2+2i)z + 4 = 0.
is this basically the same as the earlier question?
Thanks in advance :)