SPS SPS FM 2020 May — Question 1 4 marks

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2020
SessionMay
Marks4
TopicComplex Numbers Arithmetic
TypeLinear equations in z and z*
DifficultyModerate -0.3 This is a straightforward linear equation in z and z* requiring substitution of z = x + iy, equating real and imaginary parts, and solving two simultaneous linear equations. It's slightly easier than average as it's a standard technique with no conceptual difficulty, though it requires careful algebraic manipulation.
Spec4.02a Complex numbers: real/imaginary parts, modulus, argument4.02c Complex notation: z, z*, Re(z), Im(z), |z|, arg(z)4.02e Arithmetic of complex numbers: add, subtract, multiply, divide

1. Solve the equation \(2 z - 5 \mathrm { i } z ^ { * } = 12\) [0pt] [4 marks]

1.

Solve the equation $2 z - 5 \mathrm { i } z ^ { * } = 12$\\[0pt]
[4 marks]\\

\hfill \mbox{\textit{SPS SPS FM 2020 Q1 [4]}}