Tim Gan Math
Sign up free

Solving algebraic equations in complex numbers

Solving algebraic equations in complex numbers

IB Year 6 | Grade 12

Solve the equations

  1. \(\frac{z+i}{z-i}=2+3i\)
  2. \(z^4+8z^2+36=0\)

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inIB Math tuition

Create a free account to practise similar questions.

Create free accountSign inIB Math tuition
Answer:(a) \(z=\dfrac35+\dfrac65i\). (b) \(z=1\pm\sqrt5i\) or \(z=-1\pm\sqrt5i\) (four roots).

Need help? Join our JC Math tuition classes.

Learn more