A-LevelMathematicsComplex numbers9709/33 · Oct/Nov 2022 · Q66 Marks
Solve the quadratic equation (1 – 3i)z² – (2 + i)z + i = 0, giving your answers in the form x + iy, where x and y are real.
- Solve the quadratic equation (1 – 3i)z² – (2 + i)z + i = 0, giving your answers in the form x + iy, where x and y are real.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- M1 Use quadratic formula to solve for z
- M1 Use i² = -1 throughout
- A1 Obtain correct answer in any form
- M1 Multiply numerator and denominator by (1 + 3i), or equivalent
- A1 Obtain final answer, e.g. -1/2 + 1/2i
- A1 Obtain second final answer, e.g. 2/5 + 1/5i
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →